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class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rf:25759" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span>&nbsp;</span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>&nbsp;&nbsp;</span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>&nbsp;&nbsp;</span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>&nbsp;&nbsp;</span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>&nbsp;&nbsp;</span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>&nbsp;&nbsp;</span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>&nbsp;&nbsp;</span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>&nbsp;&nbsp;</span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>&nbsp;&nbsp;</span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>&nbsp;&nbsp;</span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>&nbsp;&nbsp;</span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>&nbsp;&nbsp;</span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>&nbsp;&nbsp;</span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>&nbsp;&nbsp;</span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>&nbsp;&nbsp;</span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>&nbsp;&nbsp;</span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>&nbsp;&nbsp;</span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>&nbsp;&nbsp;</span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a&nbsp;<span class="item">&</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical and (default)</a></li> <li><a href="#"><span class="token">a&nbsp;<span class="item">|</span>&nbsp;b&nbsp;</span><span>&nbsp;</span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab&nbsp;&nbsp;&nbsp;</span><span>&nbsp;</span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>&nbsp;&nbsp;</span><span>&nbsp;</span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab&nbsp;c<span class="item">"</span></span><span>&nbsp;</span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab&nbsp;c<span class="item">)</span></span><span>&nbsp;</span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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<a href="/authors/frieze.alan-m" title="Author Profile">Frieze, Alan</a></div> <h3 class="title"> <a href="/1536.05171"><strong>On the chromatic number of random regular hypergraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1536.05171">Zbl 1536.05171</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A511342" title="Articles in this Issue">38, No. 2, 1369-1380 (2024)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05D40" title="Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.)">05D40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1536.05171" data-ciurl="/ci/07844348" data-biburl="/bibtex/07844348.bib" data-amsurl="/amsrefs/07844348.bib" data-xmlurl="/xml/07844348.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07844348.pdf" title="Zbl 1536.05171 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/22M1544476" aria-label="DOI for “On the chromatic number of random regular hypergraphs”" title="10.1137/22M1544476">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2301.00085"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7820338" value="7820338" aria-label="mark item Zbl 1540.05060"></div> <div class="author"><a href="/authors/surya.erlang" title="Author Profile">Surya, Erlang</a>; <a href="/authors/warnke.lutz" title="Author Profile">Warnke, Lutz</a></div> <h3 class="title"> <a href="/1540.05060"><strong>On the concentration of the chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1540.05060">Zbl 1540.05060</a> </h3> <div class="source"> <a href="/serials/2064" title="Journal Profile">Electron. J. Comb.</a> <a href="/?q=in%3A508538" title="Articles in this Issue">31, No. 1, Research Paper P1.44, 18 p. (2024)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A19770">Ágnes Backhausz (Budapest)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1540.05060" data-ciurl="/ci/07820338" data-biburl="/bibtex/07820338.bib" data-amsurl="/amsrefs/07820338.bib" data-xmlurl="/xml/07820338.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07820338.pdf" title="Zbl 1540.05060 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.37236/11638" aria-label="DOI for “On the concentration of the chromatic number of random graphs”" title="10.37236/11638">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2201.00906"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7780661" value="7780661" aria-label="mark item Zbl 1529.05063"></div> <div class="author"><a href="/authors/heckel.annika" title="Author Profile">Heckel, Annika</a>; <a href="/authors/riordan.oliver" title="Author Profile">Riordan, Oliver</a></div> <h3 class="title"> <a href="/1529.05063"><strong>How does the chromatic number of a random graph vary?</strong></a> <i>(English)</i> <a class="label nowrap" href="/1529.05063">Zbl 1529.05063</a> </h3> <div class="source"> <a href="/serials/500" title="Journal Profile">J. Lond. Math. Soc., II. Ser.</a> <a href="/?q=in%3A506364" title="Articles in this Issue">108, No. 5, 1769-1815 (2023)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A15755">V. Yegnanarayanan (Chennai)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1529.05063" data-ciurl="/ci/07780661" data-biburl="/bibtex/07780661.bib" data-amsurl="/amsrefs/07780661.bib" data-xmlurl="/xml/07780661.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07780661.pdf" title="Zbl 1529.05063 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1112/jlms.12794" aria-label="DOI for “How does the chromatic number of a random graph vary?”" title="10.1112/jlms.12794">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2103.14014"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by-nc/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nc.svg" alt="Creative Commons NC license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7725115" value="7725115" aria-label="mark item Zbl 1519.05076"></div> <div class="author"><a href="/authors/isaev.mikhail-ismailovitch" title="Author Profile">Isaev, Mikhail</a>; <a href="/authors/kang.mihyun" title="Author Profile">Kang, Mihyun</a></div> <h3 class="title"> <a href="/1519.05076"><strong>On the chromatic number in the stochastic block model.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1519.05076">Zbl 1519.05076</a> </h3> <div class="source"> <a href="/serials/2064" title="Journal Profile">Electron. J. Comb.</a> <a href="/?q=in%3A495656" title="Articles in this Issue">30, No. 2, Research Paper P2.56, 50 p. (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1519.05076" data-ciurl="/ci/07725115" data-biburl="/bibtex/07725115.bib" data-amsurl="/amsrefs/07725115.bib" data-xmlurl="/xml/07725115.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07725115.pdf" title="Zbl 1519.05076 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.37236/10728" aria-label="DOI for “On the chromatic number in the stochastic block model”" title="10.37236/10728">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2109.00737"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7709496" value="7709496" aria-label="mark item Zbl 1518.05061"></div> <div class="author"><a href="/authors/denisov.ilya-o" title="Author Profile">Denisov, I. O.</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, D. A.</a></div> <h3 class="title"> <a href="/1518.05061"><strong>On the concentration of values of \(j\)-chromatic numbers of random hypergraphs.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1518.05061">Zbl 1518.05061</a> </h3> <div class="source"> <a href="/serials/2267" title="Journal Profile">Dokl. Math.</a> <a href="/?q=in%3A499068" title="Articles in this Issue">107, No. 1, 21-27 (2023)</a>; translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 28-35 (2023). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1518.05061" data-ciurl="/ci/07709496" data-biburl="/bibtex/07709496.bib" data-amsurl="/amsrefs/07709496.bib" data-xmlurl="/xml/07709496.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07709496.pdf" title="Zbl 1518.05061 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S1064562423700424" aria-label="DOI for “On the concentration of values of \(j\)-chromatic numbers of random hypergraphs”" title="10.1134/S1064562423700424">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7671265" value="7671265" aria-label="mark item Zbl 1511.05078"></div> <div class="author"><a href="/authors/khuzieva.alina-e" title="Author Profile">Khuzieva, Alina</a>; <a href="/authors/matveeva.tatiana" title="Author Profile">Matveeva, Tatiana</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, Dmitry</a></div> <h3 class="title"> <a href="/1511.05078"><strong>Estimating the strong \(r\)-colorability threshold in random hypergraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1511.05078">Zbl 1511.05078</a> </h3> <div class="source"> <a href="/serials/7610" title="Journal Profile">Mosc. J. Comb. Number Theory</a> <a href="/?q=in%3A495273" title="Articles in this Issue">12, No. 1, 57-88 (2023)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1511.05078" data-ciurl="/ci/07671265" data-biburl="/bibtex/07671265.bib" data-amsurl="/amsrefs/07671265.bib" data-xmlurl="/xml/07671265.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07671265.pdf" title="Zbl 1511.05078 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.2140/moscow.2023.12.57" aria-label="DOI for “Estimating the strong \(r\)-colorability threshold in random hypergraphs”" title="10.2140/moscow.2023.12.57">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7644681" value="7644681" aria-label="mark item Zbl 1524.05283"></div> <div class="author"><a href="/authors/ayre.peter" title="Author Profile">Ayre, Peter</a>; <a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/greenhill.catherine-s" title="Author Profile">Greenhill, Catherine</a></div> <h3 class="title"> <a href="/1524.05283"><strong>Lower bounds on the chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1524.05283">Zbl 1524.05283</a> </h3> <div class="source"> <a href="/serials/919" title="Journal Profile">Combinatorica</a> <a href="/?q=in%3A491835" title="Articles in this Issue">42, No. 5, 617-658 (2022)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A8152">Brigitte Servatius (Worcester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1524.05283" data-ciurl="/ci/07644681" data-biburl="/bibtex/07644681.bib" data-amsurl="/amsrefs/07644681.bib" data-xmlurl="/xml/07644681.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07644681.pdf" title="Zbl 1524.05283 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00493-021-4236-z" aria-label="DOI for “Lower bounds on the chromatic number of random graphs”" title="10.1007/s00493-021-4236-z">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1812.09691"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7596012" value="7596012" aria-label="mark item Zbl 1498.05241"></div> <div class="author"><a href="/authors/ganesan.ghurumuruhan" title="Author Profile">Ganesan, Ghurumuruhan</a></div> <h3 class="title"> <a href="/1498.05241"><strong>Cliques and chromatic number in multiregime random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1498.05241">Zbl 1498.05241</a> </h3> <div class="source"> <a href="/serials/7101" title="Journal Profile">Sankhyā, Ser. A</a> <a href="/?q=in%3A487553" title="Articles in this Issue">84, No. 2, 509-533 (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A62E10" title="Characterization and structure theory of statistical distributions">62E10</a> <a class="mono" href="/classification/?q=cc%3A90B15" title="Stochastic network models in operations research">90B15</a> <a class="mono" href="/classification/?q=cc%3A91D30" title="Social networks; opinion dynamics">91D30</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1498.05241" data-ciurl="/ci/07596012" data-biburl="/bibtex/07596012.bib" data-amsurl="/amsrefs/07596012.bib" data-xmlurl="/xml/07596012.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07596012.pdf" title="Zbl 1498.05241 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s13171-020-00205-4" aria-label="DOI for “Cliques and chromatic number in multiregime random graphs”" title="10.1007/s13171-020-00205-4">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7565118" value="7565118" aria-label="mark item Zbl 1493.05095"></div> <div class="author"><a href="/authors/blumenthal.adam" title="Author Profile">Blumenthal, Adam</a>; <a href="/authors/lidicky.bernard" title="Author Profile">Lidický, Bernard</a>; <a href="/authors/martin.ryan-r" title="Author Profile">Martin, Ryan R.</a>; <a href="/authors/norine.serguei" title="Author Profile">Norin, Sergey</a>; <a href="/authors/pfender.florian" title="Author Profile">Pfender, Florian</a>; <a href="/authors/volec.jan" title="Author Profile">Volec, Jan</a></div> <h3 class="title"> <a href="/1493.05095"><strong>Counterexamples to a conjecture of Harris on Hall ratio.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1493.05095">Zbl 1493.05095</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A484096" title="Articles in this Issue">36, No. 3, 1678-1686 (2022)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A05C72" title="Fractional graph theory, fuzzy graph theory">05C72</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1493.05095" data-ciurl="/ci/07565118" data-biburl="/bibtex/07565118.bib" data-amsurl="/amsrefs/07565118.bib" data-xmlurl="/xml/07565118.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07565118.pdf" title="Zbl 1493.05095 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/18M1229420" aria-label="DOI for “Counterexamples to a conjecture of Harris on Hall ratio”" title="10.1137/18M1229420">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1811.11116"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7544362" value="7544362" aria-label="mark item Zbl 1491.05172"></div> <div class="author"><a href="/authors/matveeva.t-g" title="Author Profile">Matveeva, T. G.</a>; <a href="/authors/khuzieva.alina-e" title="Author Profile">Khuzieva, A. E.</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, D. A.</a></div> <h3 class="title"> <a href="/1491.05172"><strong>On the strong chromatic number of random hypergraphs.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1491.05172">Zbl 1491.05172</a> </h3> <div class="source"> <a href="/serials/2267" title="Journal Profile">Dokl. Math.</a> <a href="/?q=in%3A483327" title="Articles in this Issue">105, No. 1, 31-34 (2022)</a>; translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 37-41 (2022). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A60C05" title="Combinatorial probability">60C05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1491.05172" data-ciurl="/ci/07544362" data-biburl="/bibtex/07544362.bib" data-amsurl="/amsrefs/07544362.bib" data-xmlurl="/xml/07544362.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07544362.pdf" title="Zbl 1491.05172 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S1064562422010094" aria-label="DOI for “On the strong chromatic number of random hypergraphs”" title="10.1134/S1064562422010094">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7440727" value="7440727" aria-label="mark item Zbl 1491.05077"></div> <div class="author"><a href="/authors/ghosal.subhankar" title="Author Profile">Ghosal, Subhankar</a>; <a href="/authors/ghosh.sasthi-c" title="Author Profile">Ghosh, Sasthi C.</a></div> <h3 class="title"> <a href="/1491.05077"><strong>An incremental search heuristic for coloring vertices of a graph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1491.05077">Zbl 1491.05077</a> </h3> <div class="source"> Gentile, Claudio (ed.) et al., Graphs and combinatorial optimization: from theory to applications. Proceedings of the 18th Cologne-Twente workshop on graphs and combinatorial optimization (CTW2020), online, September 14&ndash;16, 2020. Cham: Springer. AIRO Springer Ser. 5, 39-52 (2021). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A16603">Enqiang Zhu (Peking)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C42" title="Density (toughness, etc.)">05C42</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1491.05077" data-ciurl="/ci/07440727" data-biburl="/bibtex/07440727.bib" data-amsurl="/amsrefs/07440727.bib" data-xmlurl="/xml/07440727.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07440727.pdf" title="Zbl 1491.05077 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-030-63072-0_4" aria-label="DOI for “An incremental search heuristic for coloring vertices of a graph”" title="10.1007/978-3-030-63072-0_4">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7333294" value="7333294" aria-label="mark item Zbl 1461.05103"></div> <div class="author"><a href="/authors/przybylo.jakub" title="Author Profile">Przybyło, Jakub</a></div> <h3 class="title"> <a href="/1461.05103"><strong>On the standard \((2,2)\)-conjecture.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1461.05103">Zbl 1461.05103</a> </h3> <div class="source"> <a href="/serials/824" title="Journal Profile">Eur. J. Comb.</a> <a href="/?q=in%3A461279" title="Articles in this Issue">94, Article ID 103305, 11 p. (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C22" title="Signed and weighted graphs">05C22</a> <a class="mono" href="/classification/?q=cc%3A05C78" title="Graph labelling (graceful graphs, bandwidth, etc.)">05C78</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1461.05103" data-ciurl="/ci/07333294" data-biburl="/bibtex/07333294.bib" data-amsurl="/amsrefs/07333294.bib" data-xmlurl="/xml/07333294.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07333294.pdf" title="Zbl 1461.05103 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ejc.2020.103305" aria-label="DOI for “On the standard \((2,2)\)-conjecture”" title="10.1016/j.ejc.2020.103305">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1911.00867"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7302658" value="7302658" aria-label="mark item Zbl 1456.05053"></div> <div class="author"><a href="/authors/balobanov.arseniy-e" title="Author Profile">Balobanov, Arseniy E.</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, Dmitry A.</a></div> <h3 class="title"> <a href="/1456.05053"><strong>On the strong chromatic number of a random 3-uniform hypergraph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1456.05053">Zbl 1456.05053</a> </h3> <div class="source"> <a href="/serials/69" title="Journal Profile">Discrete Math.</a> <a href="/?q=in%3A457929" title="Articles in this Issue">344, No. 3, Article ID 112231, 16 p. (2021)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1456.05053" data-ciurl="/ci/07302658" data-biburl="/bibtex/07302658.bib" data-amsurl="/amsrefs/07302658.bib" data-xmlurl="/xml/07302658.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07302658.pdf" title="Zbl 1456.05053 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.disc.2020.112231" aria-label="DOI for “On the strong chromatic number of a random 3-uniform hypergraph”" title="10.1016/j.disc.2020.112231">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7500701" value="7500701" aria-label="mark item Zbl 1486.05098"></div> <div class="author"><a href="/authors/mohar.bojan" title="Author Profile">Mohar, Bojan</a>; <a href="/authors/wu.hehui" title="Author Profile">Wu, Hehui</a></div> <h3 class="title"> <a href="/1486.05098"><strong>Fractional chromatic number of a random subgraph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1486.05098">Zbl 1486.05098</a> </h3> <div class="source"> <a href="/serials/494" title="Journal Profile">J. Graph Theory</a> <a href="/?q=in%3A479568" title="Articles in this Issue">95, No. 3, 467-472 (2020)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1486.05098" data-ciurl="/ci/07500701" data-biburl="/bibtex/07500701.bib" data-amsurl="/amsrefs/07500701.bib" data-xmlurl="/xml/07500701.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07500701.pdf" title="Zbl 1486.05098 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/jgt.22571" aria-label="DOI for “Fractional chromatic number of a random subgraph”" title="10.1002/jgt.22571">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1807.06285"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7242098" value="7242098" aria-label="mark item Zbl 1447.05188"></div> <div class="author"><a href="/authors/kovalenko.kirill-e" title="Author Profile">Kovalenko, Kirill</a></div> <h3 class="title"> <a href="/1447.05188"><strong>On the independence number and the chromatic number of generalized preferential attachment models.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1447.05188">Zbl 1447.05188</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A452573" title="Articles in this Issue">285, 301-306 (2020)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C82" title="Small world graphs, complex networks (graph-theoretic aspects)">05C82</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C90" title="Applications of graph theory">05C90</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1447.05188" data-ciurl="/ci/07242098" data-biburl="/bibtex/07242098.bib" data-amsurl="/amsrefs/07242098.bib" data-xmlurl="/xml/07242098.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07242098.pdf" title="Zbl 1447.05188 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.dam.2020.04.035" aria-label="DOI for “On the independence number and the chromatic number of generalized preferential attachment models”" title="10.1016/j.dam.2020.04.035">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7209225" value="7209225" aria-label="mark item Zbl 1442.05070"></div> <div class="author"><a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, Dmitry A.</a></div> <h3 class="title"> <a href="/1442.05070"><strong>Estimating the \(r\)-colorability threshold for a random hypergraph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1442.05070">Zbl 1442.05070</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A449843" title="Articles in this Issue">282, 168-183 (2020)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A13832">Yilun Shang (Newcastle)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1442.05070" data-ciurl="/ci/07209225" data-biburl="/bibtex/07209225.bib" data-amsurl="/amsrefs/07209225.bib" data-xmlurl="/xml/07209225.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07209225.pdf" title="Zbl 1442.05070 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.dam.2019.10.031" aria-label="DOI for “Estimating the \(r\)-colorability threshold for a random hypergraph”" title="10.1016/j.dam.2019.10.031">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7928540" value="7928540" aria-label="mark item Zbl 1551.05369"></div> <div class="author"><a href="/authors/kargaltsev.stepan" title="Author Profile">Kargaltsev, S.</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, D.</a>; <a href="/authors/shaikheeva.talia" title="Author Profile">Shaikheeva, T.</a></div> <h3 class="title"> <a href="/1551.05369"><strong>Two values of the chromatic number of a sparse random graph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1551.05369">Zbl 1551.05369</a> </h3> <div class="source"> <a href="/serials/1394" title="Journal Profile">Acta Math. Univ. Comen., New Ser.</a> <a href="/?q=in%3A519270" title="Articles in this Issue">88, No. 3, 849-854 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1551.05369" data-ciurl="/ci/07928540" data-biburl="/bibtex/07928540.bib" data-amsurl="/amsrefs/07928540.bib" data-xmlurl="/xml/07928540.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07928540.pdf" title="Zbl 1551.05369 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1273" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7186357" value="7186357" aria-label="mark item Zbl 1436.05036"></div> <div class="author"><a href="/authors/esperet.louis" title="Author Profile">Esperet, Louis</a>; <a href="/authors/kang.ross-j" title="Author Profile">Kang, Ross J.</a>; <a href="/authors/thomasse.stephan" title="Author Profile">Thomassé, Stéphan</a></div> <h3 class="title"> <a href="/1436.05036"><strong>Separation choosability and dense bipartite induced subgraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1436.05036">Zbl 1436.05036</a> </h3> <div class="source"> <a href="/serials/1952" title="Journal Profile">Comb. Probab. Comput.</a> <a href="/?q=in%3A448279" title="Articles in this Issue">28, No. 5, 720-732 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C35" title="Extremal problems in graph theory">05C35</a> <a class="mono" href="/classification/?q=cc%3A05C42" title="Density (toughness, etc.)">05C42</a> <a class="mono" href="/classification/?q=cc%3A05C60" title="Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)">05C60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1436.05036" data-ciurl="/ci/07186357" data-biburl="/bibtex/07186357.bib" data-amsurl="/amsrefs/07186357.bib" data-xmlurl="/xml/07186357.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07186357.pdf" title="Zbl 1436.05036 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0963548319000026" aria-label="DOI for “Separation choosability and dense bipartite induced subgraphs”" title="10.1017/S0963548319000026">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1802.03727"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7179340" value="7179340" aria-label="mark item Zbl 1434.05135"></div> <div class="author"><a href="/authors/rassmann.felicia" title="Author Profile">Rassmann, Felicia</a></div> <h3 class="title"> <a href="/1434.05135"><strong>On the number of solutions in random graph \(k\)-colouring.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1434.05135">Zbl 1434.05135</a> </h3> <div class="source"> <a href="/serials/1952" title="Journal Profile">Comb. Probab. Comput.</a> <a href="/?q=in%3A447861" title="Articles in this Issue">28, No. 1, 130-158 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1434.05135" data-ciurl="/ci/07179340" data-biburl="/bibtex/07179340.bib" data-amsurl="/amsrefs/07179340.bib" data-xmlurl="/xml/07179340.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07179340.pdf" title="Zbl 1434.05135 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0963548318000251" aria-label="DOI for “On the number of solutions in random graph \(k\)-colouring”" title="10.1017/S0963548318000251">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1609.04191"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7094292" value="7094292" aria-label="mark item Zbl 1417.05057"></div> <div class="author"><a href="/authors/ayre.peter" title="Author Profile">Ayre, Peter</a>; <a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/greenhill.catherine-s" title="Author Profile">Greenhill, Catherine</a></div> <h3 class="title"> <a href="/1417.05057"><strong>Hypergraph coloring up to condensation.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1417.05057">Zbl 1417.05057</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A434193" title="Articles in this Issue">54, No. 4, 615-652 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1417.05057" data-ciurl="/ci/07094292" data-biburl="/bibtex/07094292.bib" data-amsurl="/amsrefs/07094292.bib" data-xmlurl="/xml/07094292.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07094292.pdf" title="Zbl 1417.05057 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.20824" aria-label="DOI for “Hypergraph coloring up to condensation”" title="10.1002/rsa.20824">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1508.01841"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7094291" value="7094291" aria-label="mark item Zbl 1417.05075"></div> <div class="author"><a href="/authors/mcdiarmid.colin" title="Author Profile">McDiarmid, Colin</a>; <a href="/authors/mitsche.dieter" title="Author Profile">Mitsche, Dieter</a>; <a href="/authors/pralat.pawel" title="Author Profile">Prałat, Paweł</a></div> <h3 class="title"> <a href="/1417.05075"><strong>Clique coloring of binomial random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1417.05075">Zbl 1417.05075</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A434193" title="Articles in this Issue">54, No. 4, 589-614 (2019)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1417.05075" data-ciurl="/ci/07094291" data-biburl="/bibtex/07094291.bib" data-amsurl="/amsrefs/07094291.bib" data-xmlurl="/xml/07094291.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07094291.pdf" title="Zbl 1417.05075 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.20804" aria-label="DOI for “Clique coloring of binomial random graphs”" title="10.1002/rsa.20804">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1611.01782"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-02083918" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6979405" value="6979405" aria-label="mark item Zbl 1403.82009"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a></div> <h3 class="title"> <a href="/1403.82009"><strong>Phase transitions in discrete structures.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1403.82009">Zbl 1403.82009</a> </h3> <div class="source"> Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18&ndash;22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 599-618 (2018). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A82B26" title="Phase transitions (general) in equilibrium statistical mechanics">82B26</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A82B44" title="Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics">82B44</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1403.82009" data-ciurl="/ci/06979405" data-biburl="/bibtex/06979405.bib" data-amsurl="/amsrefs/06979405.bib" data-xmlurl="/xml/06979405.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06979405.pdf" title="Zbl 1403.82009 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4171/176-1/28" aria-label="DOI for “Phase transitions in discrete structures”" title="10.4171/176-1/28">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6913944" value="6913944" aria-label="mark item Zbl 1414.68036"></div> <div class="author"><a href="/authors/mann.zoltan-adam" title="Author Profile">Mann, Zoltán Ádám</a></div> <h3 class="title"> <a href="/1414.68036"><strong>Complexity of coloring random graphs: an experimental study of the hardest region.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1414.68036">Zbl 1414.68036</a> </h3> <div class="source"> <a href="/serials/3091" title="Journal Profile">ACM J. Exp. Algorithm.</a> <a href="/?q=in%3A411150" title="Articles in this Issue">23, No. 1, Article No. 1.3, 19 p. (2018)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1414.68036" data-ciurl="/ci/06913944" data-biburl="/bibtex/06913944.bib" data-amsurl="/amsrefs/06913944.bib" data-xmlurl="/xml/06913944.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06913944.pdf" title="Zbl 1414.68036 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/3183350" aria-label="DOI for “Complexity of coloring random graphs: an experimental study of the hardest region”" title="10.1145/3183350">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6909500" value="6909500" aria-label="mark item Zbl 1399.05200"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/efthymiou.charilaos" title="Author Profile">Efthymiou, Charilaos</a>; <a href="/authors/jaafari.nor" title="Author Profile">Jaafari, Nor</a></div> <h3 class="title"> <a href="/1399.05200"><strong>Local convergence of random graph colorings.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1399.05200">Zbl 1399.05200</a> </h3> <div class="source"> <a href="/serials/919" title="Journal Profile">Combinatorica</a> <a href="/?q=in%3A409789" title="Articles in this Issue">38, No. 2, 341-380 (2018)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B. Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1399.05200" data-ciurl="/ci/06909500" data-biburl="/bibtex/06909500.bib" data-amsurl="/amsrefs/06909500.bib" data-xmlurl="/xml/06909500.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06909500.pdf" title="Zbl 1399.05200 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00493-016-3394-x" aria-label="DOI for “Local convergence of random graph colorings”" title="10.1007/s00493-016-3394-x">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1501.06301"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="https://drops.dagstuhl.de/opus/volltexte/2015/5332/" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6898930" value="6898930" aria-label="mark item Zbl 1397.82013"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/krzakala.florent" title="Author Profile">Krzakala, Florent</a>; <a href="/authors/perkins.will" title="Author Profile">Perkins, Will</a>; <a href="/authors/zdeborova.lenka" title="Author Profile">Zdeborová, Lenka</a></div> <h3 class="title"> <a href="/1397.82013"><strong>Information-theoretic thresholds from the cavity method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1397.82013">Zbl 1397.82013</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A407295" title="Articles in this Issue">333, 694-795 (2018)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A11477">Hasan Akin (Gaziantep)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A82B20" title="Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics">82B20</a> <a class="mono" href="/classification/?q=cc%3A82B26" title="Phase transitions (general) in equilibrium statistical mechanics">82B26</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A82D40" title="Statistical mechanics of magnetic materials">82D40</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1397.82013" data-ciurl="/ci/06898930" data-biburl="/bibtex/06898930.bib" data-amsurl="/amsrefs/06898930.bib" data-xmlurl="/xml/06898930.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06898930.pdf" title="Zbl 1397.82013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2018.05.029" aria-label="DOI for “Information-theoretic thresholds from the cavity method”" title="10.1016/j.aim.2018.05.029">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1611.00814"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6859585" value="6859585" aria-label="mark item Zbl 1387.05135"></div> <div class="author"><a href="/authors/lin.qizhong" title="Author Profile">Lin, Qizhong</a>; <a href="/authors/li.yusheng" title="Author Profile">Li, Yusheng</a></div> <h3 class="title"> <a href="/1387.05135"><strong>Sparse multipartite graphs as partition universal for graphs with bounded degree.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1387.05135">Zbl 1387.05135</a> </h3> <div class="source"> <a href="/serials/2378" title="Journal Profile">J. Comb. Optim.</a> <a href="/?q=in%3A380054" title="Articles in this Issue">35, No. 3, 724-739 (2018)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C42" title="Density (toughness, etc.)">05C42</a> <a class="mono" href="/classification/?q=cc%3A05C70" title="Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)">05C70</a> <a class="mono" href="/classification/?q=cc%3A05C12" title="Distance in graphs">05C12</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1387.05135" data-ciurl="/ci/06859585" data-biburl="/bibtex/06859585.bib" data-amsurl="/amsrefs/06859585.bib" data-xmlurl="/xml/06859585.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06859585.pdf" title="Zbl 1387.05135 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10878-017-0214-1" aria-label="DOI for “Sparse multipartite graphs as partition universal for graphs with bounded degree”" title="10.1007/s10878-017-0214-1">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1411.6966"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7375851" value="7375851" aria-label="mark item Zbl 1467.05244"></div> <div class="author"><a href="/authors/golovnev.alexander" title="Author Profile">Golovnev, Alexander</a>; <a href="/authors/regev.oded" title="Author Profile">Regev, Oded</a>; <a href="/authors/weinstein.omri" title="Author Profile">Weinstein, Omri</a></div> <h3 class="title"> <a href="/1467.05244"><strong>The minrank of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1467.05244">Zbl 1467.05244</a> </h3> <div class="source"> Jansen, Klaus (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 20th international workshop, APPROX 2017 and 21st international workshop, RANDOM 2017, Berkeley, CA, USA, August 16&ndash;18, 2017. Proceedings. Wadern: Schloss Dagstuhl &ndash; Leibniz Zentrum für Informatik. LIPIcs &ndash; Leibniz Int. Proc. Inform. 81, Article 46, 13 p. (2017). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C50" title="Graphs and linear algebra (matrices, eigenvalues, etc.)">05C50</a> <a class="mono" href="/classification/?q=cc%3A60C05" title="Combinatorial probability">60C05</a> <a class="mono" href="/classification/?q=cc%3A68Q06" title="Networks and circuits as models of computation; circuit complexity">68Q06</a> <a class="mono" href="/classification/?q=cc%3A94A29" title="Source coding">94A29</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1467.05244" data-ciurl="/ci/07375851" data-biburl="/bibtex/07375851.bib" data-amsurl="/amsrefs/07375851.bib" data-xmlurl="/xml/07375851.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07375851.pdf" title="Zbl 1467.05244 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2017.46" aria-label="DOI for “The minrank of random graphs”" title="10.4230/LIPIcs.APPROX-RANDOM.2017.46">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6797818" value="6797818" aria-label="mark item Zbl 1373.05069"></div> <div class="author"><a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, D. A.</a></div> <h3 class="title"> <a href="/1373.05069"><strong>On the concentration of the chromatic number of a random hypergraph.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1373.05069">Zbl 1373.05069</a> </h3> <div class="source"> <a href="/serials/2267" title="Journal Profile">Dokl. Math.</a> <a href="/?q=in%3A371324" title="Articles in this Issue">96, No. 1, 321-325 (2017)</a>; translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 1, 24-28 (2016). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1373.05069" data-ciurl="/ci/06797818" data-biburl="/bibtex/06797818.bib" data-amsurl="/amsrefs/06797818.bib" data-xmlurl="/xml/06797818.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06797818.pdf" title="Zbl 1373.05069 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S1064562417040044" aria-label="DOI for “On the concentration of the chromatic number of a random hypergraph”" title="10.1134/S1064562417040044">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6788954" value="6788954" aria-label="mark item Zbl 1371.05068"></div> <div class="author"><a href="/authors/bapst.victor" title="Author Profile">Bapst, Victor</a>; <a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/efthymiou.charilaos" title="Author Profile">Efthymiou, Charilaos</a></div> <h3 class="title"> <a href="/1371.05068"><strong>Planting colourings silently.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1371.05068">Zbl 1371.05068</a> </h3> <div class="source"> <a href="/serials/1952" title="Journal Profile">Comb. Probab. Comput.</a> <a href="/?q=in%3A370658" title="Articles in this Issue">26, No. 3, 338-366 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1371.05068" data-ciurl="/ci/06788954" data-biburl="/bibtex/06788954.bib" data-amsurl="/amsrefs/06788954.bib" data-xmlurl="/xml/06788954.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06788954.pdf" title="Zbl 1371.05068 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0963548316000390" aria-label="DOI for “Planting colourings silently”" title="10.1017/S0963548316000390">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1411.0610"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6761805" value="6761805" aria-label="mark item Zbl 1370.68222"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/krzakala.florent" title="Author Profile">Krzakala, Florent</a>; <a href="/authors/perkins.will" title="Author Profile">Perkins, Will</a>; <a href="/authors/zdeborova.lenka" title="Author Profile">Zdeborova, Lenka</a></div> <h3 class="title"> <a href="/1370.68222"><strong>Information-theoretic thresholds from the cavity method.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1370.68222">Zbl 1370.68222</a> </h3> <div class="source"> Hatami, Hamed (ed.) et al., Proceedings of the 49th annual ACM SIGACT symposium on theory of computing, STOC &rsquo;17, Montreal, QC, Canada, June 19&ndash;23, 2017. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4528-6). 146-157 (2017). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68Q87" title="Probability in computer science (algorithm analysis, random structures, phase transitions, etc.)">68Q87</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A68P30" title="Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science)">68P30</a> <a class="mono" href="/classification/?q=cc%3A82B26" title="Phase transitions (general) in equilibrium statistical mechanics">82B26</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1370.68222" data-ciurl="/ci/06761805" data-biburl="/bibtex/06761805.bib" data-amsurl="/amsrefs/06761805.bib" data-xmlurl="/xml/06761805.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06761805.pdf" title="Zbl 1370.68222 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/3055399.3055420" aria-label="DOI for “Information-theoretic thresholds from the cavity method”" title="10.1145/3055399.3055420">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1611.00814"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6705140" value="6705140" aria-label="mark item Zbl 1359.05045"></div> <div class="author"><a href="/authors/rybarczyk.katarzyna" title="Author Profile">Rybarczyk, Katarzyna</a></div> <h3 class="title"> <a href="/1359.05045"><strong>The chromatic number of random intersection graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1359.05045">Zbl 1359.05045</a> </h3> <div class="source"> <a href="/serials/2141" title="Journal Profile">Discuss. Math., Graph Theory</a> <a href="/?q=in%3A364973" title="Articles in this Issue">37, No. 2, 465-476 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1359.05045" data-ciurl="/ci/06705140" data-biburl="/bibtex/06705140.bib" data-amsurl="/amsrefs/06705140.bib" data-xmlurl="/xml/06705140.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06705140.pdf" title="Zbl 1359.05045 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.7151/dmgt.1955" aria-label="DOI for “The chromatic number of random intersection graphs”" title="10.7151/dmgt.1955">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nc.svg" alt="Creative Commons NC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/nd.svg" alt="Creative Commons ND license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6699114" value="6699114" aria-label="mark item Zbl 1358.05116"></div> <div class="author"><a href="/authors/nikoletseas.sotiris-e" title="Author Profile">Nikoletseas, Sotiris E.</a>; <a href="/authors/raptopoulos.christoforos-l" title="Author Profile">Raptopoulos, Christoforos L.</a>; <a href="/authors/spirakis.paul-g" title="Author Profile">Spirakis, Paul G.</a></div> <h3 class="title"> <a href="/1358.05116"><strong>On the chromatic number of non-sparse random intersection graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1358.05116">Zbl 1358.05116</a> </h3> <div class="source"> <a href="/serials/2291" title="Journal Profile">Theory Comput. Syst.</a> <a href="/?q=in%3A363706" title="Articles in this Issue">60, No. 1, 112-127 (2017)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1358.05116" data-ciurl="/ci/06699114" data-biburl="/bibtex/06699114.bib" data-amsurl="/amsrefs/06699114.bib" data-xmlurl="/xml/06699114.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06699114.pdf" title="Zbl 1358.05116 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00224-016-9733-x" aria-label="DOI for “On the chromatic number of non-sparse random intersection graphs”" title="10.1007/s00224-016-9733-x">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6636285" value="6636285" aria-label="mark item Zbl 1346.05267"></div> <div class="author"><a href="/authors/dudek.andrzej" title="Author Profile">Dudek, Andrzej</a>; <a href="/authors/mitsche.dieter" title="Author Profile">Mitsche, Dieter</a>; <a href="/authors/pralat.pawel" title="Author Profile">Prałat, Paweł</a></div> <h3 class="title"> <a href="/1346.05267"><strong>The set chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1346.05267">Zbl 1346.05267</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A359565" title="Articles in this Issue">215, 61-70 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1346.05267" data-ciurl="/ci/06636285" data-biburl="/bibtex/06636285.bib" data-amsurl="/amsrefs/06636285.bib" data-xmlurl="/xml/06636285.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06636285.pdf" title="Zbl 1346.05267 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.dam.2016.07.011" aria-label="DOI for “The set chromatic number of random graphs”" title="10.1016/j.dam.2016.07.011">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1502.01295"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6519969" value="6519969" aria-label="mark item Zbl 1327.05104"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/efthymiou.charilaos" title="Author Profile">Efthymiou, Charilaos</a>; <a href="/authors/hetterich.samuel" title="Author Profile">Hetterich, Samuel</a></div> <h3 class="title"> <a href="/1327.05104"><strong>On the chromatic number of random regular graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1327.05104">Zbl 1327.05104</a> </h3> <div class="source"> <a href="/serials/480" title="Journal Profile">J. Comb. Theory, Ser. B</a> <a href="/?q=in%3A350568" title="Articles in this Issue">116, 367-439 (2016)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1327.05104" data-ciurl="/ci/06519969" data-biburl="/bibtex/06519969.bib" data-amsurl="/amsrefs/06519969.bib" data-xmlurl="/xml/06519969.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06519969.pdf" title="Zbl 1327.05104 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jctb.2015.09.006" aria-label="DOI for “On the chromatic number of random regular graphs”" title="10.1016/j.jctb.2015.09.006">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1308.4287"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6537979" value="6537979" aria-label="mark item Zbl 1331.05191"></div> <div class="author"><a href="/authors/bogolubsky.l-i" title="Author Profile">Bogolubsky, L. I.</a>; <a href="/authors/gusev.a-s" title="Author Profile">Gusev, A. S.</a>; <a href="/authors/pyaderkin.m-m" title="Author Profile">Pyaderkin, M. M.</a>; <a href="/authors/raigorodskii.andrei-m" title="Author Profile">Raigorodskii, A. M.</a></div> <h3 class="title"> <a href="/1331.05191"><strong>Independence numbers and chromatic numbers of the random subgraphs of some distance graphs.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1331.05191">Zbl 1331.05191</a> </h3> <div class="source"> <a href="/serials/2175" title="Journal Profile">Sb. Math.</a> <a href="/?q=in%3A352038" title="Articles in this Issue">206, No. 10, 1340-1374 (2015)</a>; translation from Mat. Sb. 206, No. 10, 3-36 (2015). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A1767">Ioan Tomescu (Bucureşti)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A05C12" title="Distance in graphs">05C12</a> <a class="mono" href="/classification/?q=cc%3A05D10" title="Ramsey theory">05D10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1331.05191" data-ciurl="/ci/06537979" data-biburl="/bibtex/06537979.bib" data-amsurl="/amsrefs/06537979.bib" data-xmlurl="/xml/06537979.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06537979.pdf" title="Zbl 1331.05191 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1070/SM2015v206n10ABEH004498" aria-label="DOI for “Independence numbers and chromatic numbers of the random subgraphs of some distance graphs”" title="10.1070/SM2015v206n10ABEH004498">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6536124" value="6536124" aria-label="mark item Zbl 1331.05199"></div> <div class="author"><a href="/authors/nikoletseas.sotiris-e" title="Author Profile">Nikoletseas, Sotiris E.</a>; <a href="/authors/raptopoulos.christoforos-l" title="Author Profile">Raptopoulos, Christoforos L.</a></div> <h3 class="title"> <a href="/1331.05199"><strong>On some combinatorial properties of random intersection graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1331.05199">Zbl 1331.05199</a> </h3> <div class="source"> Zaroliagis, Christos (ed.) et al., Algorithms, probability, networks, and games. Scientific papers and essays dedicated to Paul G. Spirakis on the occasion of his 60th birthday. Cham: Springer (ISBN 978-3-319-24023-7/pbk; 978-3-319-24024-4/ebook). Lecture Notes in Computer Science 9295, 370-383 (2015). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C62" title="Graph representations (geometric and intersection representations, etc.)">05C62</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A68R10" title="Graph theory (including graph drawing) in computer science">68R10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1331.05199" data-ciurl="/ci/06536124" data-biburl="/bibtex/06536124.bib" data-amsurl="/amsrefs/06536124.bib" data-xmlurl="/xml/06536124.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06536124.pdf" title="Zbl 1331.05199 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-319-24024-4_21" aria-label="DOI for “On some combinatorial properties of random intersection graphs”" title="10.1007/978-3-319-24024-4_21">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6475715" value="6475715" aria-label="mark item Zbl 1327.05109"></div> <div class="author"><a href="/authors/frieze.alan-m" title="Author Profile">Frieze, Alan</a>; <a href="/authors/mitsche.dieter" title="Author Profile">Mitsche, Dieter</a>; <a href="/authors/perez-gimenez.xavier" title="Author Profile">Pérez-Giménez, Xavier</a>; <a href="/authors/pralat.pawel" title="Author Profile">Prałat, Paweł</a></div> <h3 class="title"> <a href="/1327.05109"><strong>On-line list colouring of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1327.05109">Zbl 1327.05109</a> </h3> <div class="source"> <a href="/serials/2064" title="Journal Profile">Electron. J. Comb.</a> <a href="/?q=in%3A343400" title="Articles in this Issue">22, No. 2, Research Paper P2.41, 17 p. (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1327.05109" data-ciurl="/ci/06475715" data-biburl="/bibtex/06475715.bib" data-amsurl="/amsrefs/06475715.bib" data-xmlurl="/xml/06475715.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06475715.pdf" title="Zbl 1327.05109 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1501.07469"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i2p41" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6468518" value="6468518" aria-label="mark item Zbl 1317.05137"></div> <div class="author"><a href="/authors/glebov.roman" title="Author Profile">Glebov, Roman</a>; <a href="/authors/liebenau.anita" title="Author Profile">Liebenau, Anita</a>; <a href="/authors/szabo.tibor" title="Author Profile">Szab&rsquo;o, Tibor</a></div> <h3 class="title"> <a href="/1317.05137"><strong>On the concentration of the domination number of the random graph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1317.05137">Zbl 1317.05137</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A346873" title="Articles in this Issue">29, No. 3, 1186-1206 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05D40" title="Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.)">05D40</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1317.05137" data-ciurl="/ci/06468518" data-biburl="/bibtex/06468518.bib" data-amsurl="/amsrefs/06468518.bib" data-xmlurl="/xml/06468518.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06468518.pdf" title="Zbl 1317.05137 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/12090054X" aria-label="DOI for “On the concentration of the domination number of the random graph”" title="10.1137/12090054X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1209.3115"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6468380" value="6468380" aria-label="mark item Zbl 1317.05096"></div> <div class="author"><a href="/authors/kupavskii.andrey" title="Author Profile">Kupavskii, A.</a>; <a href="/authors/shabanov.dmitry-a" title="Author Profile">Shabanov, D. A.</a></div> <h3 class="title"> <a href="/1317.05096"><strong>Colorings of partial Steiner systems and their applications.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1317.05096">Zbl 1317.05096</a> </h3> <div class="source"> <a href="/serials/1955" title="Journal Profile">J. Math. Sci., New York</a> <a href="/?q=in%3A344796" title="Articles in this Issue">206, No. 5, 511-538 (2015)</a>; translation from Fundam. Prikl. Mat. 18, No. 3, 77-115 (2013). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C35" title="Extremal problems in graph theory">05C35</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C07" title="Vertex degrees">05C07</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1317.05096" data-ciurl="/ci/06468380" data-biburl="/bibtex/06468380.bib" data-amsurl="/amsrefs/06468380.bib" data-xmlurl="/xml/06468380.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06468380.pdf" title="Zbl 1317.05096 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10958-015-2330-8" aria-label="DOI for “Colorings of partial Steiner systems and their applications”" title="10.1007/s10958-015-2330-8">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6455266" value="6455266" aria-label="mark item Zbl 1316.05043"></div> <div class="author"><a href="/authors/gusev.a-s" title="Author Profile">Gusev, A. S.</a></div> <h3 class="title"> <a href="/1316.05043"><strong>New upper bound for the chromatic number of a random subgraph of a distance graph.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1316.05043">Zbl 1316.05043</a> </h3> <div class="source"> <a href="/serials/157" title="Journal Profile">Math. Notes</a> <a href="/?q=in%3A345374" title="Articles in this Issue">97, No. 3, 326-332 (2015)</a>; translation from Mat. Zametki 97, No. 3, 342-349 (2015). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C12" title="Distance in graphs">05C12</a> <a class="mono" href="/classification/?q=cc%3A05C60" title="Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)">05C60</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1316.05043" data-ciurl="/ci/06455266" data-biburl="/bibtex/06455266.bib" data-amsurl="/amsrefs/06455266.bib" data-xmlurl="/xml/06455266.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06455266.pdf" title="Zbl 1316.05043 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S0001434615030037" aria-label="DOI for “New upper bound for the chromatic number of a random subgraph of a distance graph”" title="10.1134/S0001434615030037">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6437891" value="6437891" aria-label="mark item Zbl 1311.05141"></div> <div class="author"><a href="/authors/kurauskas.valentas" title="Author Profile">Kurauskas, Valentas</a>; <a href="/authors/rybarczyk.katarzyna" title="Author Profile">Rybarczyk, Katarzyna</a></div> <h3 class="title"> <a href="/1311.05141"><strong>On the chromatic index of random uniform hypergraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1311.05141">Zbl 1311.05141</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A344349" title="Articles in this Issue">29, No. 1, 541-558 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1311.05141" data-ciurl="/ci/06437891" data-biburl="/bibtex/06437891.bib" data-amsurl="/amsrefs/06437891.bib" data-xmlurl="/xml/06437891.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06437891.pdf" title="Zbl 1311.05141 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/130942292" aria-label="DOI for “On the chromatic index of random uniform hypergraphs”" title="10.1137/130942292">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/fb42bb4b7e3ae16f8add18f9ee7d6215fe58642e" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6431541" value="6431541" aria-label="mark item Zbl 1311.05057"></div> <div class="author"><a href="/authors/aravind.n-r" title="Author Profile">Aravind, N. R.</a>; <a href="/authors/kalyanasundaram.subrahmanyam" title="Author Profile">Kalyanasundaram, Subrahmanyam</a>; <a href="/authors/sandeep.r-b" title="Author Profile">Sandeep, R. B.</a>; <a href="/authors/sivadasan.naveen" title="Author Profile">Sivadasan, Naveen</a></div> <h3 class="title"> <a href="/1311.05057"><strong>The chromatic discrepancy of graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1311.05057">Zbl 1311.05057</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A343528" title="Articles in this Issue">184, 40-49 (2015)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A68Q17" title="Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.)">68Q17</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1311.05057" data-ciurl="/ci/06431541" data-biburl="/bibtex/06431541.bib" data-amsurl="/amsrefs/06431541.bib" data-xmlurl="/xml/06431541.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06431541.pdf" title="Zbl 1311.05057 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.dam.2014.10.038" aria-label="DOI for “The chromatic discrepancy of graphs”" title="10.1016/j.dam.2014.10.038">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1401.3251"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6389218" value="6389218" aria-label="mark item Zbl 1305.05144"></div> <div class="author"><a href="/authors/keusch.ralph" title="Author Profile">Keusch, Ralph</a>; <a href="/authors/steger.angelika" title="Author Profile">Steger, Angelika</a></div> <h3 class="title"> <a href="/1305.05144"><strong>The game chromatic number of dense random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1305.05144">Zbl 1305.05144</a> </h3> <div class="source"> <a href="/serials/2064" title="Journal Profile">Electron. J. Comb.</a> <a href="/?q=in%3A337431" title="Articles in this Issue">21, No. 4, Research Paper P4.47, 19 p. (2014)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C57" title="Games on graphs (graph-theoretic aspects)">05C57</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A91A43" title="Games involving graphs">91A43</a> <a class="mono" href="/classification/?q=cc%3A91A05" title="2-person games">91A05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.05144" data-ciurl="/ci/06389218" data-biburl="/bibtex/06389218.bib" data-amsurl="/amsrefs/06389218.bib" data-xmlurl="/xml/06389218.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06389218.pdf" title="Zbl 1305.05144 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1406.7126"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p47" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6381282" value="6381282" aria-label="mark item Zbl 1306.05222"></div> <div class="author"><a href="/authors/bogolyubskii.l-i" title="Author Profile">Bogolyubskii, L. I.</a>; <a href="/authors/gusev.a-s" title="Author Profile">Gusev, A. S.</a>; <a href="/authors/pyaderkin.m-m" title="Author Profile">Pyaderkin, M. M.</a>; <a href="/authors/raigorodskii.andrei-m" title="Author Profile">Raigorodskii, A. M.</a></div> <h3 class="title"> <a href="/1306.05222"><strong>Independence numbers and chromatic numbers of random subgraphs in some sequences of graphs.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/1306.05222">Zbl 1306.05222</a> </h3> <div class="source"> <a href="/serials/2267" title="Journal Profile">Dokl. Math.</a> <a href="/?q=in%3A338244" title="Articles in this Issue">90, No. 1, 462-465 (2014)</a>; translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 4, 383-387 (2014). </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A14302">Marcin Anholcer (Poznan)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1306.05222" data-ciurl="/ci/06381282" data-biburl="/bibtex/06381282.bib" data-amsurl="/amsrefs/06381282.bib" data-xmlurl="/xml/06381282.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06381282.pdf" title="Zbl 1306.05222 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1134/S1064562414050147" aria-label="DOI for “Independence numbers and chromatic numbers of random subgraphs in some sequences of graphs”" title="10.1134/S1064562414050147">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6351440" value="6351440" aria-label="mark item Zbl 1305.05181"></div> <div class="author"><a href="/authors/tong.weitian" title="Author Profile">Tong, Weitian</a>; <a href="/authors/goebel.randy-g" title="Author Profile">Goebel, Randy</a>; <a href="/authors/lin.guohui" title="Author Profile">Lin, Guohui</a></div> <h3 class="title"> <a href="/1305.05181"><strong>Approximating the minimum independent dominating set in perturbed graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1305.05181">Zbl 1305.05181</a> </h3> <div class="source"> <a href="/serials/735" title="Journal Profile">Theor. Comput. Sci.</a> <a href="/?q=in%3A336806" title="Articles in this Issue">554, 275-282 (2014)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C69" title="Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)">05C69</a> <a class="mono" href="/classification/?q=cc%3A05C35" title="Extremal problems in graph theory">05C35</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1305.05181" data-ciurl="/ci/06351440" data-biburl="/bibtex/06351440.bib" data-amsurl="/amsrefs/06351440.bib" data-xmlurl="/xml/06351440.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06351440.pdf" title="Zbl 1305.05181 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.tcs.2013.11.010" aria-label="DOI for “Approximating the minimum independent dominating set in perturbed graphs”" title="10.1016/j.tcs.2013.11.010">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6330304" value="6330304" aria-label="mark item Zbl 1298.05285"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a></div> <h3 class="title"> <a href="/1298.05285"><strong>Upper-bounding the \(k\)-colorability threshold by counting covers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1298.05285">Zbl 1298.05285</a> </h3> <div class="source"> <a href="/serials/2064" title="Journal Profile">Electron. J. Comb.</a> <a href="/?q=in%3A335577" title="Articles in this Issue">20, No. 3, Research Paper P32, 28 p. (2013)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A68Q87" title="Probability in computer science (algorithm analysis, random structures, phase transitions, etc.)">68Q87</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1298.05285" data-ciurl="/ci/06330304" data-biburl="/bibtex/06330304.bib" data-amsurl="/amsrefs/06330304.bib" data-xmlurl="/xml/06330304.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06330304.pdf" title="Zbl 1298.05285 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1305.0177"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i3p32" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6250822" value="6250822" aria-label="mark item Zbl 1410.68173"></div> <div class="author"><a href="/authors/mann.zoltan-adam" title="Author Profile">Mann, Zoltán Ádám</a>; <a href="/authors/szajko.aniko" title="Author Profile">Szajkó, Anikó</a></div> <h3 class="title"> <a href="/1410.68173"><strong>Average-case complexity of backtrack search for coloring sparse random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1410.68173">Zbl 1410.68173</a> </h3> <div class="source"> <a href="/serials/483" title="Journal Profile">J. Comput. Syst. Sci.</a> <a href="/?q=in%3A328655" title="Articles in this Issue">79, No. 8, 1287-1301 (2013)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1410.68173" data-ciurl="/ci/06250822" data-biburl="/bibtex/06250822.bib" data-amsurl="/amsrefs/06250822.bib" data-xmlurl="/xml/06250822.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06250822.pdf" title="Zbl 1410.68173 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jcss.2013.06.003" aria-label="DOI for “Average-case complexity of backtrack search for coloring sparse random graphs”" title="10.1016/j.jcss.2013.06.003">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6106865" value="6106865" aria-label="mark item Zbl 1252.05062"></div> <div class="author"><a href="/authors/grzesik.andrzej" title="Author Profile">Grzesik, Andrzej</a></div> <h3 class="title"> <a href="/1252.05062"><strong>Indicated coloring of graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1252.05062">Zbl 1252.05062</a> </h3> <div class="source"> <a href="/serials/69" title="Journal Profile">Discrete Math.</a> <a href="/?q=in%3A309287" title="Articles in this Issue">312, No. 23, 3467-3472 (2012)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C57" title="Games on graphs (graph-theoretic aspects)">05C57</a> <a class="mono" href="/classification/?q=cc%3A91A05" title="2-person games">91A05</a> <a class="mono" href="/classification/?q=cc%3A91A43" title="Games involving graphs">91A43</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1252.05062" data-ciurl="/ci/06106865" data-biburl="/bibtex/06106865.bib" data-amsurl="/amsrefs/06106865.bib" data-xmlurl="/xml/06106865.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06106865.pdf" title="Zbl 1252.05062 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.disc.2012.07.001" aria-label="DOI for “Indicated coloring of graphs”" title="10.1016/j.disc.2012.07.001">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6006219" value="6006219" aria-label="mark item Zbl 1263.05097"></div> <div class="author"><a href="/authors/mcdiarmid.colin" title="Author Profile">McDiarmid, Colin</a>; <a href="/authors/muller.tobias-m" title="Author Profile">Müller, Tobias</a></div> <h3 class="title"> <a href="/1263.05097"><strong>On the chromatic number of random geometric graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1263.05097">Zbl 1263.05097</a> </h3> <div class="source"> <a href="/serials/919" title="Journal Profile">Combinatorica</a> <a href="/?q=in%3A295340" title="Articles in this Issue">31, No. 4, 423-488 (2011)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B.&nbsp;Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A60D05" title="Geometric probability and stochastic geometry">60D05</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1263.05097" data-ciurl="/ci/06006219" data-biburl="/bibtex/06006219.bib" data-amsurl="/amsrefs/06006219.bib" data-xmlurl="/xml/06006219.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06006219.pdf" title="Zbl 1263.05097 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00493-011-2403-3" aria-label="DOI for “On the chromatic number of random geometric graphs”" title="10.1007/s00493-011-2403-3">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1101.6065"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5703833" value="5703833" aria-label="mark item Zbl 1216.05031"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a>; <a href="/authors/vilenchik.dan" title="Author Profile">Vilenchik, Dan</a></div> <h3 class="title"> <a href="/1216.05031"><strong>Why almost all \(k\)-colorable graphs are easy to color.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1216.05031">Zbl 1216.05031</a> </h3> <div class="source"> <a href="/serials/2291" title="Journal Profile">Theory Comput. Syst.</a> <a href="/?q=in%3A260841" title="Articles in this Issue">46, No. 3, 523-565 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1216.05031" data-ciurl="/ci/05703833" data-biburl="/bibtex/05703833.bib" data-amsurl="/amsrefs/05703833.bib" data-xmlurl="/xml/05703833.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05703833.pdf" title="Zbl 1216.05031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00224-009-9231-5" aria-label="DOI for “Why almost all \(k\)-colorable graphs are easy to color”" title="10.1007/s00224-009-9231-5">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5700342" value="5700342" aria-label="mark item Zbl 1207.05182"></div> <div class="author"><a href="/authors/kang.ross-j" title="Author Profile">Kang, Ross J.</a>; <a href="/authors/mcdiarmid.colin" title="Author Profile">McDiarmid, Colin</a></div> <h3 class="title"> <a href="/1207.05182"><strong>The \(t\)-improper chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1207.05182">Zbl 1207.05182</a> </h3> <div class="source"> <a href="/serials/1952" title="Journal Profile">Comb. Probab. Comput.</a> <a href="/?q=in%3A256810" title="Articles in this Issue">19, No. 1, 87-98 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1207.05182" data-ciurl="/ci/05700342" data-biburl="/bibtex/05700342.bib" data-amsurl="/amsrefs/05700342.bib" data-xmlurl="/xml/05700342.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05700342.pdf" title="Zbl 1207.05182 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0963548309990216" aria-label="DOI for “The \(t\)-improper chromatic number of random graphs”" title="10.1017/S0963548309990216">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0809.4726"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5643965" value="5643965" aria-label="mark item Zbl 1184.05044"></div> <div class="author"><a href="/authors/kemkes.graeme" title="Author Profile">Kemkes, Graeme</a>; <a href="/authors/perez-gimenez.xavier" title="Author Profile">Pérez-Giménez, Xavier</a>; <a href="/authors/wormald.nicholas-c" title="Author Profile">Wormald, Nicholas</a></div> <h3 class="title"> <a href="/1184.05044"><strong>On the chromatic number of random \(d\)-regular graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1184.05044">Zbl 1184.05044</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A256226" title="Articles in this Issue">223, No. 1, 300-328 (2010)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1184.05044" data-ciurl="/ci/05643965" data-biburl="/bibtex/05643965.bib" data-amsurl="/amsrefs/05643965.bib" data-xmlurl="/xml/05643965.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05643965.pdf" title="Zbl 1184.05044 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2009.08.006" aria-label="DOI for “On the chromatic number of random \(d\)-regular graphs”" title="10.1016/j.aim.2009.08.006">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0812.2937"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5814183" value="5814183" aria-label="mark item Zbl 1205.05093"></div> <div class="author"><a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a>; <a href="/authors/patkos.balazs" title="Author Profile">Patkós, Balázs</a></div> <h3 class="title"> <a href="/1205.05093"><strong>Equitable coloring of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1205.05093">Zbl 1205.05093</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A251867" title="Articles in this Issue">35, No. 1, 83-99 (2009)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1205.05093" data-ciurl="/ci/05814183" data-biburl="/bibtex/05814183.bib" data-amsurl="/amsrefs/05814183.bib" data-xmlurl="/xml/05814183.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05814183.pdf" title="Zbl 1205.05093 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.20264" aria-label="DOI for “Equitable coloring of random graphs”" title="10.1002/rsa.20264">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5644037" value="5644037" aria-label="mark item Zbl 1182.05105"></div> <div class="author"><a href="/authors/ben-shimon.sonny" title="Author Profile">Ben-Shimon, Sonny</a>; <a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a></div> <h3 class="title"> <a href="/1182.05105"><strong>Random regular graphs of non-constant degree: concentration of the chromatic number.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1182.05105">Zbl 1182.05105</a> </h3> <div class="source"> <a href="/serials/69" title="Journal Profile">Discrete Math.</a> <a href="/?q=in%3A250538" title="Articles in this Issue">309, No. 12, 4149-4161 (2009)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B. Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C07" title="Vertex degrees">05C07</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1182.05105" data-ciurl="/ci/05644037" data-biburl="/bibtex/05644037.bib" data-amsurl="/amsrefs/05644037.bib" data-xmlurl="/xml/05644037.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05644037.pdf" title="Zbl 1182.05105 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.disc.2008.12.014" aria-label="DOI for “Random regular graphs of non-constant degree: concentration of the chromatic number”" title="10.1016/j.disc.2008.12.014">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0511343"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5617300" value="5617300" aria-label="mark item Zbl 1250.05097"></div> <div class="author"><a href="/authors/nikoletseas.sotiris-e" title="Author Profile">Nikoletseas, Sotiris</a>; <a href="/authors/raptopoulos.christoforos-l" title="Author Profile">Raptopoulos, Christoforos</a>; <a href="/authors/spirakis.paul-g" title="Author Profile">Spirakis, Paul G.</a></div> <h3 class="title"> <a href="/1250.05097"><strong>Colouring non-sparse random intersection graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1250.05097">Zbl 1250.05097</a> </h3> <div class="source"> Královič, Rastislav (ed.) et al., Mathematical foundations of computer science 2009. 34th international symposium, MFCS 2009, Novy Smokovec, High Tatras, Slovakia, August 24&ndash;28, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03815-0/pbk). Lecture Notes in Computer Science 5734, 600-611 (2009). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1250.05097" data-ciurl="/ci/05617300" data-biburl="/bibtex/05617300.bib" data-amsurl="/amsrefs/05617300.bib" data-xmlurl="/xml/05617300.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05617300.pdf" title="Zbl 1250.05097 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-642-03816-7_51" aria-label="DOI for “Colouring non-sparse random intersection graphs”" title="10.1007/978-3-642-03816-7_51">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5596326" value="5596326" aria-label="mark item Zbl 1248.68376"></div> <div class="author"><a href="/authors/farnqvist.tommy" title="Author Profile">Färnqvist, Tommy</a>; <a href="/authors/jonsson.peter" title="Author Profile">Jonsson, Peter</a>; <a href="/authors/thapper.johan" title="Author Profile">Thapper, Johan</a></div> <h3 class="title"> <a href="/1248.68376"><strong>Approximability distance in the space of \(H\)-colourability problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1248.68376">Zbl 1248.68376</a> </h3> <div class="source"> Frid, Anna (ed.) et al., Computer science &ndash; theory and applications. Fourth international computer science symposium in Russia, CSR 2009, Novosibirsk, Russia, August 18&ndash;23, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03350-6/pbk). Lecture Notes in Computer Science 5675, 92-104 (2009). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68R10" title="Graph theory (including graph drawing) in computer science">68R10</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1248.68376" data-ciurl="/ci/05596326" data-biburl="/bibtex/05596326.bib" data-amsurl="/amsrefs/05596326.bib" data-xmlurl="/xml/05596326.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05596326.pdf" title="Zbl 1248.68376 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/978-3-642-03351-3_11" aria-label="DOI for “Approximability distance in the space of \(H\)-colourability problems”" title="10.1007/978-3-642-03351-3_11">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5569091" value="5569091" aria-label="mark item Zbl 1181.05078"></div> <div class="author"><a href="/authors/panagiotou.konstantinos-d" title="Author Profile">Panagiotou, Konstantinos</a>; <a href="/authors/steger.angelika" title="Author Profile">Steger, Angelika</a></div> <h3 class="title"> <a href="/1181.05078"><strong>A note on the chromatic number of a dense random graph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1181.05078">Zbl 1181.05078</a> </h3> <div class="source"> <a href="/serials/69" title="Journal Profile">Discrete Math.</a> <a href="/?q=in%3A250151" title="Articles in this Issue">309, No. 10, 3420-3423 (2009)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B. Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1181.05078" data-ciurl="/ci/05569091" data-biburl="/bibtex/05569091.bib" data-amsurl="/amsrefs/05569091.bib" data-xmlurl="/xml/05569091.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05569091.pdf" title="Zbl 1181.05078 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.disc.2008.09.019" aria-label="DOI for “A note on the chromatic number of a dense random graph”" title="10.1016/j.disc.2008.09.019">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5719171" value="5719171" aria-label="mark item Zbl 1191.68461"></div> <div class="author"><a href="/authors/bottcher.julia" title="Author Profile">Böttcher, Julia</a>; <a href="/authors/vilenchik.dan" title="Author Profile">Vilenchik, Dan</a></div> <h3 class="title"> <a href="/1191.68461"><strong>On the tractability of coloring semirandom graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1191.68461">Zbl 1191.68461</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A262426" title="Articles in this Issue">108, No. 3, 143-149 (2008)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68R10" title="Graph theory (including graph drawing) in computer science">68R10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1191.68461" data-ciurl="/ci/05719171" data-biburl="/bibtex/05719171.bib" data-amsurl="/amsrefs/05719171.bib" data-xmlurl="/xml/05719171.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05719171.pdf" title="Zbl 1191.68461 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ipl.2008.04.011" aria-label="DOI for “On the tractability of coloring semirandom graphs”" title="10.1016/j.ipl.2008.04.011">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5523056" value="5523056" aria-label="mark item Zbl 1182.05114"></div> <div class="author"><a href="/authors/sudakov.benny" title="Author Profile">Sudakov, Benny</a>; <a href="/authors/vu-ha-van." title="Author Profile">Vu, V. H.</a></div> <h3 class="title"> <a href="/1182.05114"><strong>Local resilience of graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1182.05114">Zbl 1182.05114</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A234625" title="Articles in this Issue">33, No. 4, 409-433 (2008)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C45" title="Eulerian and Hamiltonian graphs">05C45</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1182.05114" data-ciurl="/ci/05523056" data-biburl="/bibtex/05523056.bib" data-amsurl="/amsrefs/05523056.bib" data-xmlurl="/xml/05523056.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05523056.pdf" title="Zbl 1182.05114 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.20235" aria-label="DOI for “Local resilience of graphs”" title="10.1002/rsa.20235">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0706.4104"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5349234" value="5349234" aria-label="mark item Zbl 1172.05022"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/panagiotou.konstantinos-d" title="Author Profile">Panagiotou, Konstantinos</a>; <a href="/authors/steger.angelika" title="Author Profile">Steger, Angelika</a></div> <h3 class="title"> <a href="/1172.05022"><strong>On the chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1172.05022">Zbl 1172.05022</a> </h3> <div class="source"> <a href="/serials/480" title="Journal Profile">J. Comb. Theory, Ser. B</a> <a href="/?q=in%3A232080" title="Articles in this Issue">98, No. 5, 980-993 (2008)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1172.05022" data-ciurl="/ci/05349234" data-biburl="/bibtex/05349234.bib" data-amsurl="/amsrefs/05349234.bib" data-xmlurl="/xml/05349234.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05349234.pdf" title="Zbl 1172.05022 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jctb.2007.11.009" aria-label="DOI for “On the chromatic number of random graphs”" title="10.1016/j.jctb.2007.11.009">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5284941" value="5284941" aria-label="mark item Zbl 1341.05077"></div> <div class="author"><a href="/authors/kang.ross-j" title="Author Profile">Kang, Ross J.</a>; <a href="/authors/mcdiarmid.colin" title="Author Profile">McDiarmid, Colin J. H.</a></div> <h3 class="title"> <a href="/1341.05077"><strong>The \(t\)-improper chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1341.05077">Zbl 1341.05077</a> </h3> <div class="source"> Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb&rsquo;07, Seville, Spain, September 11&ndash;15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 411-417 (2007). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1341.05077" data-ciurl="/ci/05284941" data-biburl="/bibtex/05284941.bib" data-amsurl="/amsrefs/05284941.bib" data-xmlurl="/xml/05284941.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05284941.pdf" title="Zbl 1341.05077 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.endm.2007.07.067" aria-label="DOI for “The \(t\)-improper chromatic number of random graphs”" title="10.1016/j.endm.2007.07.067">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0809.4726"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5272477" value="5272477" aria-label="mark item Zbl 1190.68031"></div> <div class="author"><a href="/authors/krzakala.florent" title="Author Profile">Krząkała, Florent</a>; <a href="/authors/montanari.andrea" title="Author Profile">Montanari, Andrea</a>; <a href="/authors/ricci-tersenghi.federico" title="Author Profile">Ricci-Tersenghi, Federico</a>; <a href="/authors/semerjian.guilhem" title="Author Profile">Semerjian, Guilhem</a>; <a href="/authors/zdeborova.lenka" title="Author Profile">Zdeborová, Lenka</a></div> <h3 class="title"> <a href="/1190.68031"><strong>Gibbs states and the set of solutions of random constraint satisfaction problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1190.68031">Zbl 1190.68031</a> </h3> <div class="source"> <a href="/serials/1625" title="Journal Profile">Proc. Natl. Acad. Sci. USA</a> <a href="/?q=in%3A219010" title="Articles in this Issue">104, No. 25, 10318-10323 (2007)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> <a class="mono" href="/classification/?q=cc%3A60K25" title="Queueing theory (aspects of probability theory)">60K25</a> <a class="mono" href="/classification/?q=cc%3A68T20" title="Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)">68T20</a> <a class="mono" href="/classification/?q=cc%3A82B05" title="Classical equilibrium statistical mechanics (general)">82B05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1190.68031" data-ciurl="/ci/05272477" data-biburl="/bibtex/05272477.bib" data-amsurl="/amsrefs/05272477.bib" data-xmlurl="/xml/05272477.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05272477.pdf" title="Zbl 1190.68031 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1073/pnas.0703685104" aria-label="DOI for “Gibbs states and the set of solutions of random constraint satisfaction problems”" title="10.1073/pnas.0703685104">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/cond-mat/0612365"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5238202" value="5238202" aria-label="mark item Zbl 1137.05066"></div> <div class="author"><a href="/authors/frieze.alan-m" title="Author Profile">Frieze, Alan</a>; <a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a>; <a href="/authors/smyth.cliff" title="Author Profile">Smyth, Cliff</a></div> <h3 class="title"> <a href="/1137.05066"><strong>On the chromatic number of random graphs with a fixed degree sequence.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1137.05066">Zbl 1137.05066</a> </h3> <div class="source"> <a href="/serials/1952" title="Journal Profile">Comb. Probab. Comput.</a> <a href="/?q=in%3A211026" title="Articles in this Issue">16, No. 5, 733-746 (2007)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B. Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C07" title="Vertex degrees">05C07</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1137.05066" data-ciurl="/ci/05238202" data-biburl="/bibtex/05238202.bib" data-amsurl="/amsrefs/05238202.bib" data-xmlurl="/xml/05238202.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05238202.pdf" title="Zbl 1137.05066 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1017/S0963548306008388" aria-label="DOI for “On the chromatic number of random graphs with a fixed degree sequence”" title="10.1017/S0963548306008388">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5664492" value="5664492" aria-label="mark item Zbl 1184.05041"></div> <div class="author"><a href="/authors/coja-oghlan.amin" title="Author Profile">Coja-Oghlan, Amin</a>; <a href="/authors/kuhtz.lars" title="Author Profile">Kuhtz, Lars</a></div> <h3 class="title"> <a href="/1184.05041"><strong>An improved algorithm for approximating the chromatic number of \(G_{n,p}\).</strong></a> <i>(English)</i> <a class="label nowrap" href="/1184.05041">Zbl 1184.05041</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A243918" title="Articles in this Issue">99, No. 6, 234-238 (2006)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1184.05041" data-ciurl="/ci/05664492" data-biburl="/bibtex/05664492.bib" data-amsurl="/amsrefs/05664492.bib" data-xmlurl="/xml/05664492.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05664492.pdf" title="Zbl 1184.05041 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ipl.2006.05.004" aria-label="DOI for “An improved algorithm for approximating the chromatic number of \(G_{n,p}\)”" title="10.1016/j.ipl.2006.05.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2244799" value="2244799" aria-label="mark item Zbl 1082.05080"></div> <div class="author"><a href="/authors/beame.paul-w" title="Author Profile">Beame, Paul</a>; <a href="/authors/culberson.joseph-c" title="Author Profile">Culberson, Joseph</a>; <a href="/authors/?q=ai%3Amitchell.david-g-m%7Cmitchell.david-alexander%7Cmitchell.david-r" title="Author Profile">Mitchell, David</a>; <a href="/authors/moore.cristopher" title="Author Profile">Moore, Cristopher</a></div> <h3 class="title"> <a href="/1082.05080"><strong>The resolution complexity of random graph \(k\)-colorability.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1082.05080">Zbl 1082.05080</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A122013" title="Articles in this Issue">153, No. 1-3, 25-47 (2005)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A10161">David B. Penman (Colchester)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1082.05080" data-ciurl="/ci/02244799" data-biburl="/bibtex/02244799.bib" data-amsurl="/amsrefs/02244799.bib" data-xmlurl="/xml/02244799.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02244799.pdf" title="Zbl 1082.05080 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.dam.2005.05.004" aria-label="DOI for “The resolution complexity of random graph \(k\)-colorability”" title="10.1016/j.dam.2005.05.004">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5770756" value="5770756" aria-label="mark item Zbl 1192.05140"></div> <div class="author"><a href="/authors/achlioptas.dimitris" title="Author Profile">Achlioptas, Dimitris</a>; <a href="/authors/naor.assaf" title="Author Profile">Naor, Assaf</a></div> <h3 class="title"> <a href="/1192.05140"><strong>The two possible values of the chromatic number of a random graph.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1192.05140">Zbl 1192.05140</a> </h3> <div class="source"> Proceedings of the 36th annual ACM symposium on theory of computing (STOC 2004), Chicago, IL, USA, June 13 - 15, 2004. New York, NY: ACM Press (ISBN 1-58113-852-0). 587-593, electronic only (2004). </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1192.05140" data-ciurl="/ci/05770756" data-biburl="/bibtex/05770756.bib" data-amsurl="/amsrefs/05770756.bib" data-xmlurl="/xml/05770756.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05770756.pdf" title="Zbl 1192.05140 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1145/1007352.1007442" aria-label="DOI for “The two possible values of the chromatic number of a random graph”" title="10.1145/1007352.1007442">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/0706.1725"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item2116573" value="2116573" aria-label="mark item Zbl 1050.05111"></div> <div class="author"><a href="/authors/kim.jeong-han" title="Author Profile">Kim, J. H.</a>; <a href="/authors/vu-ha-van." title="Author Profile">Vu, V. H.</a></div> <h3 class="title"> <a href="/1050.05111"><strong>Sandwiching random graphs: universality between random graph models.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1050.05111">Zbl 1050.05111</a> </h3> <div class="source"> <a href="/serials/290" title="Journal Profile">Adv. Math.</a> <a href="/?q=in%3A110443" title="Articles in this Issue">188, No. 2, 444-469 (2004)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A60C05" title="Combinatorial probability">60C05</a> <a class="mono" href="/classification/?q=cc%3A74H50" title="Random vibrations in dynamical problems in solid mechanics">74H50</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1050.05111" data-ciurl="/ci/02116573" data-biburl="/bibtex/02116573.bib" data-amsurl="/amsrefs/02116573.bib" data-xmlurl="/xml/02116573.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/02116573.pdf" title="Zbl 1050.05111 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.aim.2003.10.007" aria-label="DOI for “Sandwiching random graphs: universality between random graph models”" title="10.1016/j.aim.2003.10.007">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6186818" value="6186818" aria-label="mark item Zbl 1267.05121"></div> <div class="author"><a href="/authors/mulet.roberto" title="Author Profile">Mulet, Roberto</a>; <a href="/authors/pagnani.andrea" title="Author Profile">Pagnani, Andrea</a>; <a href="/authors/weigt.martin" title="Author Profile">Weigt, Martin</a>; <a href="/authors/zecchina.riccardo" title="Author Profile">Zecchina, Riccardo</a></div> <h3 class="title"> <a href="/1267.05121"><strong>Coloring random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1267.05121">Zbl 1267.05121</a> </h3> <div class="source"> <a href="/serials/2755" title="Journal Profile">Phys. Rev. Lett.</a> <a href="/?q=in%3A321770" title="Articles in this Issue">89, No. 26, Article ID 268701, 4 p. (2002)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1267.05121" data-ciurl="/ci/06186818" data-biburl="/bibtex/06186818.bib" data-amsurl="/amsrefs/06186818.bib" data-xmlurl="/xml/06186818.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06186818.pdf" title="Zbl 1267.05121 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1103/PhysRevLett.89.268701" aria-label="DOI for “Coloring random graphs”" title="10.1103/PhysRevLett.89.268701">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/cond-mat/0208460"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1835244" value="1835244" aria-label="mark item Zbl 1046.68079"></div> <div class="author"><a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a></div> <h3 class="title"> <a href="/1046.68079"><strong>Deciding \(k\)-colorability in expected polynomial time.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1046.68079">Zbl 1046.68079</a> </h3> <div class="source"> <a href="/serials/113" title="Journal Profile">Inf. Process. Lett.</a> <a href="/?q=in%3A87271" title="Articles in this Issue">81, No. 1, 1-6 (2002)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A68R10" title="Graph theory (including graph drawing) in computer science">68R10</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1046.68079" data-ciurl="/ci/01835244" data-biburl="/bibtex/01835244.bib" data-amsurl="/amsrefs/01835244.bib" data-xmlurl="/xml/01835244.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01835244.pdf" title="Zbl 1046.68079 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/S0020-0190(01)00187-9" aria-label="DOI for “Deciding \(k\)-colorability in expected polynomial time”" title="10.1016/S0020-0190(01)00187-9">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1843858" value="1843858" aria-label="mark item Zbl 1018.05027"></div> <div class="author"><a href="/authors/gerke.stefanie" title="Author Profile">Gerke, Stefanie</a>; <a href="/authors/mcdiarmid.colin" title="Author Profile">McDiarmid, Colin</a></div> <h3 class="title"> <a href="/1018.05027"><strong>Graph imperfection. II.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1018.05027">Zbl 1018.05027</a> </h3> <div class="source"> <a href="/serials/480" title="Journal Profile">J. Comb. Theory, Ser. B</a> <a href="/?q=in%3A90578" title="Articles in this Issue">83, No. 1, 79-101 (2001)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C17" title="Perfect graphs">05C17</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1018.05027" data-ciurl="/ci/01843858" data-biburl="/bibtex/01843858.bib" data-amsurl="/amsrefs/01843858.bib" data-xmlurl="/xml/01843858.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01843858.pdf" title="Zbl 1018.05027 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1006/jctb.2001.2043" aria-label="DOI for “Graph imperfection. II”" title="10.1006/jctb.2001.2043">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/e066ad216893ed60b763d4da7c7288a7ee2db6d0" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1843791" value="1843791" aria-label="mark item Zbl 1023.05060"></div> <div class="author"><a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a>; <a href="/authors/vu-ha-van." title="Author Profile">Vu, Van H.</a></div> <h3 class="title"> <a href="/1023.05060"><strong>Choosability in random hypergraphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1023.05060">Zbl 1023.05060</a> </h3> <div class="source"> <a href="/serials/480" title="Journal Profile">J. Comb. Theory, Ser. B</a> <a href="/?q=in%3A90579" title="Articles in this Issue">83, No. 2, 241-257 (2001)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> <a class="mono" href="/classification/?q=cc%3A05C65" title="Hypergraphs">05C65</a> <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1023.05060" data-ciurl="/ci/01843791" data-biburl="/bibtex/01843791.bib" data-amsurl="/amsrefs/01843791.bib" data-xmlurl="/xml/01843791.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01843791.pdf" title="Zbl 1023.05060 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1006/jctb.2001.2053" aria-label="DOI for “Choosability in random hypergraphs”" title="10.1006/jctb.2001.2053">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://semanticscholar.org/paper/a65d47d8e837844069d3970209fd4255693723c4" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1655643" value="1655643" aria-label="mark item Zbl 0996.05106"></div> <div class="author"><a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a>; <a href="/authors/sudakov.benny" title="Author Profile">Sudakov, Benny</a>; <a href="/authors/vu-ha-van." title="Author Profile">Vu, Van H.</a>; <a href="/authors/wormald.nicholas-c" title="Author Profile">Wormald, Nicholas C.</a></div> <h3 class="title"> <a href="/0996.05106"><strong>Random regular graphs of high degree.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0996.05106">Zbl 0996.05106</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A75969" title="Articles in this Issue">18, No. 4, 346-363 (2001)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A2827">Ljuben Mutafchiev (Sofia)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A60C05" title="Combinatorial probability">60C05</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0996.05106" data-ciurl="/ci/01655643" data-biburl="/bibtex/01655643.bib" data-amsurl="/amsrefs/01655643.bib" data-xmlurl="/xml/01655643.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01655643.pdf" title="Zbl 0996.05106 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.1013" aria-label="DOI for “Random regular graphs of high degree”" title="10.1002/rsa.1013">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1380613" value="1380613" aria-label="mark item Zbl 0962.05055"></div> <div class="author"><a href="/authors/achlioptas.dimitris" title="Author Profile">Achlioptas, Dimitris</a>; <a href="/authors/friedgut.ehud" title="Author Profile">Friedgut, Ehud</a></div> <h3 class="title"> <a href="/0962.05055"><strong>A sharp threshold for \(k\)-colorability.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0962.05055">Zbl 0962.05055</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A57516" title="Articles in this Issue">14, No. 1, 63-70 (1999)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0962.05055" data-ciurl="/ci/01380613" data-biburl="/bibtex/01380613.bib" data-amsurl="/amsrefs/01380613.bib" data-xmlurl="/xml/01380613.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01380613.pdf" title="Zbl 0962.05055 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/(SICI)1098-2418(1999010)14:1&lt;63::AID-RSA3&gt;3.0.CO;2-7" aria-label="DOI for “A sharp threshold for \(k\)-colorability”" title="10.1002/(SICI)1098-2418(1999010)14:1&lt;63::AID-RSA3&gt;3.0.CO;2-7">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item1261132" value="1261132" aria-label="mark item Zbl 0910.05058"></div> <div class="author"><a href="/authors/alon.noga" title="Author Profile">Alon, Noga</a>; <a href="/authors/krivelevich.michael" title="Author Profile">Krivelevich, Michael</a></div> <h3 class="title"> <a href="/0910.05058"><strong>The concentration of the chromatic number of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0910.05058">Zbl 0910.05058</a> </h3> <div class="source"> <a href="/serials/919" title="Journal Profile">Combinatorica</a> <a href="/?q=in%3A53007" title="Articles in this Issue">17, No. 3, 303-313 (1997)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A4886">Jozef Širaň (Bratislava)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0910.05058" data-ciurl="/ci/01261132" data-biburl="/bibtex/01261132.bib" data-amsurl="/amsrefs/01261132.bib" data-xmlurl="/xml/01261132.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/01261132.pdf" title="Zbl 0910.05058 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF01215914" aria-label="DOI for “The concentration of the chromatic number of random graphs”" title="10.1007/BF01215914">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item847748" value="847748" aria-label="mark item Zbl 0864.60013"></div> <div class="author"><a href="/authors/talagrand.michel" title="Author Profile">Talagrand, Michel</a></div> <h3 class="title"> <a href="/0864.60013"><strong>Concentration of measure and isoperimetric inequalities in product spaces.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0864.60013">Zbl 0864.60013</a> </h3> <div class="source"> <a href="/serials/455" title="Journal Profile">Publ. Math., Inst. Hautes Étud. Sci.</a> <a href="/?q=in%3A29486" title="Articles in this Issue">81, 73-205 (1995)</a>. </div> <div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A4326">A.Spătaru (Bucureşti)</a></div> <div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A60E15" title="Inequalities; stochastic orderings">60E15</a> <a class="mono" href="/classification/?q=cc%3A60D05" title="Geometric probability and stochastic geometry">60D05</a> <a class="mono" href="/classification/?q=cc%3A28A35" title="Measures and integrals in product spaces">28A35</a> <a class="mono" href="/classification/?q=cc%3A60G99" title="Stochastic processes">60G99</a> <a class="mono" href="/classification/?q=cc%3A60G15" title="Gaussian processes">60G15</a> <a class="mono" href="/classification/?q=cc%3A60A10" title="Probabilistic measure theory">60A10</a> <a class="mono" href="/classification/?q=cc%3A68M20" title="Performance evaluation, queueing, and scheduling in the context of computer systems">68M20</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0864.60013" data-ciurl="/ci/00847748" data-biburl="/bibtex/00847748.bib" data-amsurl="/amsrefs/00847748.bib" data-xmlurl="/xml/00847748.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00847748.pdf" title="Zbl 0864.60013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/BF02699376" aria-label="DOI for “Concentration of measure and isoperimetric inequalities in product spaces”" title="10.1007/BF02699376">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/9406212"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://www.numdam.org/item?id=PMIHES_1995__81__73_0" title="Open Access at Numdam">Numdam</a> <a class="btn btn-default btn-xs" type="button" href="https://eudml.org/doc/104106" title="Open Access at EuDML">EuDML</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item749565" value="749565" aria-label="mark item Zbl 0862.05093"></div> <div class="author"><a href="/authors/bollobas.bela" title="Author Profile">Bollobás, Béla</a>; <a href="/authors/thomason.andrew-g" title="Author Profile">Thomason, Andrew</a></div> <h3 class="title"> <a href="/0862.05093"><strong>Generalized chromatic numbers of random graphs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0862.05093">Zbl 0862.05093</a> </h3> <div class="source"> <a href="/serials/1331" title="Journal Profile">Random Struct. Algorithms</a> <a href="/?q=in%3A25502" title="Articles in this Issue">6, No. 2-3, 353-356 (1995)</a>. </div><div class="classification"> MSC:&nbsp; <a class="mono" href="/classification/?q=cc%3A05C80" title="Random graphs (graph-theoretic aspects)">05C80</a> <a class="mono" href="/classification/?q=cc%3A05C15" title="Coloring of graphs and hypergraphs">05C15</a> </div> <!-- Modal used to show zbmath metadata in different output formats--> <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;"> <!-- alert for connection errors etc --> </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 0862.05093" data-ciurl="/ci/00749565" data-biburl="/bibtex/00749565.bib" data-amsurl="/amsrefs/00749565.bib" data-xmlurl="/xml/00749565.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/00749565.pdf" title="Zbl 0862.05093 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/rsa.3240060222" aria-label="DOI for “Generalized chromatic numbers of random graphs”" title="10.1002/rsa.3240060222">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div></section> <section class="content-filter"><h2 class="filters-caption">Filter Results by &hellip;</h2> <div class="filter filter-st"> <h3 class="filter-caption">Access</h3> <ul><li> <a href="/?q=rf%3A25759+st%3Ao" title="Open Access Documents">Open Access</a> (10) </li></ul> </div> <div class="filter filter-dt"> <h3 class="filter-caption">Document Type</h3> <ul><li> <a href="/?q=rf%3A25759+dt%3Aj" title="Articles in Journals">Journal Articles</a> (67) </li><li> <a href="/?q=rf%3A25759+dt%3Aa" title="Articles in Conference Proceedings and Collected Volumes">Collection Articles</a> (9) </li></ul> </div> <div class="filter filter-ai"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3 class="filter-caption">Author</h3> <ul><li> <a href="/?q=rf%3A25759+ai%3Acoja-oghlan.amin">Coja-Oghlan, Amin</a> (12) </li><li> <a href="/?q=rf%3A25759+ai%3Akrivelevich.michael">Krivelevich, Michael</a> (8) </li><li> <a href="/?q=rf%3A25759+ai%3Ashabanov.dmitry-a">Shabanov, Dmitry A.</a> (8) </li><li> <a href="/?q=rf%3A25759+ai%3Amcdiarmid.colin">McDiarmid, Colin J. 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