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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> 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<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 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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 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form-control" type="text" name="q" value="rf:6912549" 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> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span> </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span> </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span> </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span> </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span> </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span> </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span> </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span> </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span> </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span> </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span> </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 <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </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/golin.mordecai-j" title="Author Profile">Golin, Mordecai</a>; <a href="/authors/zhang.guochuan" title="Author Profile">Zhang, Guochuan</a></div> <h3 class="title"> <a href="/1535.90070"><strong>Scheduling on a graph with release times.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1535.90070">Zbl 1535.90070</a> </h3> <div class="source"> <a href="/serials/2381" title="Journal Profile">J. Sched.</a> <a href="/?q=in%3A510448" title="Articles in this Issue">26, No. 6, 571-580 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90B35" title="Deterministic scheduling theory in operations research">90B35</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C35" title="Programming involving graphs or networks">90C35</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1535.90070" data-ciurl="/ci/07826455" data-biburl="/bibtex/07826455.bib" data-amsurl="/amsrefs/07826455.bib" data-xmlurl="/xml/07826455.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07826455.pdf" title="Zbl 1535.90070 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/s10951-021-00680-z" aria-label="DOI for “Scheduling on a graph with release times”" title="10.1007/s10951-021-00680-z">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="item7821718" value="7821718" aria-label="mark item Zbl 07821718"></div> <div class="author"><a href="/authors/svensson.ola" title="Author Profile">Svensson, Ola</a></div> <h3 class="title"> <a href="/7821718"><strong>Polyhedral techniques in combinatorial optimization: matchings and tours.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7821718">Zbl 07821718</a> </h3> <div class="source"> Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. 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Comput.</a> <a href="/?q=in%3A506215" title="Articles in this Issue">52, No. 6, FOCS18-37-FOCS18-84 (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</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">×</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 1528.90231" data-ciurl="/ci/07780698" data-biburl="/bibtex/07780698.bib" data-amsurl="/amsrefs/07780698.bib" data-xmlurl="/xml/07780698.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07780698.pdf" title="Zbl 1528.90231 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/10.1137/18M1227135" aria-label="DOI for “Beating the integrality ratio for \(s\)-\(t\)-tours in graphs”" title="10.1137/18M1227135">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1804.03112"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="item7682619" value="7682619" aria-label="mark item Zbl 1518.90098"></div> <div class="author"><a href="/authors/zhang.jiaxuan" title="Author Profile">Zhang, Jiaxuan</a>; <a href="/authors/gao.suogang" title="Author Profile">Gao, Suogang</a>; <a href="/authors/hou.bo" title="Author Profile">Hou, Bo</a>; <a href="/authors/liu.wen.3" title="Author Profile">Liu, Wen</a></div> <h3 class="title"> <a href="/1518.90098"><strong>An approximation algorithm for the clustered path travelling salesman problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1518.90098">Zbl 1518.90098</a> </h3> <div class="source"> <a href="/serials/2378" title="Journal Profile">J. Comb. Optim.</a> <a href="/?q=in%3A496202" title="Articles in this Issue">45, No. 4, Paper No. 104, 12 p. (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1518.90098" data-ciurl="/ci/07682619" data-biburl="/bibtex/07682619.bib" data-amsurl="/amsrefs/07682619.bib" data-xmlurl="/xml/07682619.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07682619.pdf" title="Zbl 1518.90098 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/s10878-023-01029-2" aria-label="DOI for “An approximation algorithm for the clustered path travelling salesman problem”" title="10.1007/s10878-023-01029-2">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="item7659163" value="7659163" aria-label="mark item Zbl 1514.90164"></div> <div class="author"><a href="/authors/carr.robert-d" title="Author Profile">Carr, Robert</a>; <a href="/authors/haddadan.arash" title="Author Profile">Haddadan, Arash</a>; <a href="/authors/phillips.cynthia-a" title="Author Profile">Phillips, Cynthia A.</a></div> <h3 class="title"> <a href="/1514.90164"><strong>Fractional decomposition tree algorithm: a tool for studying the integrality gap of integer programs.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1514.90164">Zbl 1514.90164</a> </h3> <div class="source"> <a href="/serials/3249" title="Journal Profile">Discrete Optim.</a> <a href="/?q=in%3A493817" title="Articles in this Issue">47, Article ID 100746, 21 p. (2023)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C10" title="Integer programming">90C10</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">×</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 1514.90164" data-ciurl="/ci/07659163" data-biburl="/bibtex/07659163.bib" data-amsurl="/amsrefs/07659163.bib" data-xmlurl="/xml/07659163.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07659163.pdf" title="Zbl 1514.90164 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.disopt.2022.100746" aria-label="DOI for “Fractional decomposition tree algorithm: a tool for studying the integrality gap of integer programs”" title="10.1016/j.disopt.2022.100746">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2006.06957"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="item7708511" value="7708511" aria-label="mark item Zbl 1522.90169"></div> <div class="author"><a href="/authors/zhang.jiaxuan" title="Author Profile">Zhang, Jiaxuan</a>; <a href="/authors/gao.suogang" title="Author Profile">Gao, Suogang</a>; <a href="/authors/hou.bo" title="Author Profile">Hou, Bo</a>; <a href="/authors/liu.wen.3" title="Author Profile">Liu, Wen</a></div> <h3 class="title"> <a href="/1522.90169"><strong>An approximation algorithm for the clustered path travelling salesman problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1522.90169">Zbl 1522.90169</a> </h3> <div class="source"> Ni, Qiufen (ed.) et al., Algorithmic aspects in information and management. 16th international conference, AAIM 2022, Guangzhou, China, August 13–14, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13513, 15-27 (2022). </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A90C35" title="Programming involving graphs or networks">90C35</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1522.90169" data-ciurl="/ci/07708511" data-biburl="/bibtex/07708511.bib" data-amsurl="/amsrefs/07708511.bib" data-xmlurl="/xml/07708511.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07708511.pdf" title="Zbl 1522.90169 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/10.1007/978-3-031-16081-3_2" aria-label="DOI for “An approximation algorithm for the clustered path travelling salesman problem”" title="10.1007/978-3-031-16081-3_2">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="item7630938" value="7630938" aria-label="mark item Zbl 1508.90078"></div> <div class="author"><a href="/authors/berczi.kristof" title="Author Profile">Bérczi, Kristóf</a>; <a href="/authors/mnich.matthias" title="Author Profile">Mnich, Matthias</a>; <a href="/authors/vincze.roland" title="Author Profile">Vincze, Roland</a></div> <h3 class="title"> <a href="/1508.90078"><strong>A 3/2-approximation for the metric many-visits path TSP.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1508.90078">Zbl 1508.90078</a> </h3> <div class="source"> <a href="/serials/1220" title="Journal Profile">SIAM J. Discrete Math.</a> <a href="/?q=in%3A487678" title="Articles in this Issue">36, No. 4, 2995-3030 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C35" title="Programming involving graphs or networks">90C35</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A05B35" title="Combinatorial aspects of matroids and geometric lattices">05B35</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">×</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 1508.90078" data-ciurl="/ci/07630938" data-biburl="/bibtex/07630938.bib" data-amsurl="/amsrefs/07630938.bib" data-xmlurl="/xml/07630938.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07630938.pdf" title="Zbl 1508.90078 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/10.1137/22M1483414" aria-label="DOI for “A 3/2-approximation for the metric many-visits path TSP”" title="10.1137/22M1483414">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2007.11389"title="Note: arXiv document may differ from published version">arXiv</a> <a class="btn btn-default btn-xs" type="button" href="http://real.mtak.hu/167213/1/2007.11389.pdf" 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="item7603279" value="7603279" aria-label="mark item Zbl 1504.90142"></div> <div class="author"><a href="/authors/zhang.xiaoyan.1" title="Author Profile">Zhang, Xiaoyan</a>; <a href="/authors/du.donglei" title="Author Profile">Du, Donglei</a>; <a href="/authors/gutin.gregory-z" title="Author Profile">Gutin, Gregory</a>; <a href="/authors/ming.qiaoxia" title="Author Profile">Ming, Qiaoxia</a>; <a href="/authors/sun.jian" title="Author Profile">Sun, Jian</a></div> <h3 class="title"> <a href="/1504.90142"><strong>Approximation algorithms with constant ratio for general cluster routing problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1504.90142">Zbl 1504.90142</a> </h3> <div class="source"> <a href="/serials/2378" title="Journal Profile">J. Comb. Optim.</a> <a href="/?q=in%3A488232" title="Articles in this Issue">44, No. 4, 2499-2514 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</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">×</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 1504.90142" data-ciurl="/ci/07603279" data-biburl="/bibtex/07603279.bib" data-amsurl="/amsrefs/07603279.bib" data-xmlurl="/xml/07603279.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07603279.pdf" title="Zbl 1504.90142 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/s10878-021-00772-8" aria-label="DOI for “Approximation algorithms with constant ratio for general cluster routing problems”" title="10.1007/s10878-021-00772-8">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="item7499479" value="7499479" aria-label="mark item Zbl 1489.90154"></div> <div class="author"><a href="/authors/friggstad.zachary" title="Author Profile">Friggstad, Zachary</a>; <a href="/authors/swamy.chaitanya" title="Author Profile">Swamy, Chaitanya</a></div> <h3 class="title"> <a href="/1489.90154"><strong>A constant-factor approximation for directed latency in quasi-polynomial time.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1489.90154">Zbl 1489.90154</a> </h3> <div class="source"> <a href="/serials/483" title="Journal Profile">J. Comput. Syst. Sci.</a> <a href="/?q=in%3A479270" title="Articles in this Issue">126, 44-58 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1489.90154" data-ciurl="/ci/07499479" data-biburl="/bibtex/07499479.bib" data-amsurl="/amsrefs/07499479.bib" data-xmlurl="/xml/07499479.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07499479.pdf" title="Zbl 1489.90154 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.2021.12.001" aria-label="DOI for “A constant-factor approximation for directed latency in quasi-polynomial time”" title="10.1016/j.jcss.2021.12.001">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1912.06198"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/2020/12918/" 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="item7488098" value="7488098" aria-label="mark item Zbl 1539.68372"></div> <div class="author"><a href="/authors/traub.vera" title="Author Profile">Traub, Vera</a>; <a href="/authors/vygen.jens" title="Author Profile">Vygen, Jens</a></div> <h3 class="title"> <a href="/1539.68372"><strong>An improved approximation algorithm for the asymmetric traveling salesman problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1539.68372">Zbl 1539.68372</a> </h3> <div class="source"> <a href="/serials/706" title="Journal Profile">SIAM J. Comput.</a> <a href="/?q=in%3A476340" title="Articles in this Issue">51, No. 1, 139-173 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A05C85" title="Graph algorithms (graph-theoretic aspects)">05C85</a> <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1539.68372" data-ciurl="/ci/07488098" data-biburl="/bibtex/07488098.bib" data-amsurl="/amsrefs/07488098.bib" data-xmlurl="/xml/07488098.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07488098.pdf" title="Zbl 1539.68372 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/10.1137/20M1339313" aria-label="DOI for “An improved approximation algorithm for the asymmetric traveling salesman problem”" title="10.1137/20M1339313">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="item7430748" value="7430748" aria-label="mark item Zbl 1532.68124"></div> <div class="author"><a href="/authors/traub.vera" title="Author Profile">Traub, Vera</a>; <a href="/authors/vygen.jens" title="Author Profile">Vygen, Jens</a>; <a href="/authors/zenklusen.rico" title="Author Profile">Zenklusen, Rico</a></div> <h3 class="title"> <a href="/1532.68124"><strong>Reducing path TSP to TSP.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1532.68124">Zbl 1532.68124</a> </h3> <div class="source"> <a href="/serials/706" title="Journal Profile">SIAM J. Comput.</a> <a href="/?q=in%3A482594" title="Articles in this Issue">51, No. 3, STOC20-24-STOC20-53 (2022)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A68W25" title="Approximation algorithms">68W25</a> <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C39" title="Dynamic programming">90C39</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">×</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 1532.68124" data-ciurl="/ci/07430748" data-biburl="/bibtex/07430748.bib" data-amsurl="/amsrefs/07430748.bib" data-xmlurl="/xml/07430748.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07430748.pdf" title="Zbl 1532.68124 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/10.1137/20M135594X" aria-label="DOI for “Reducing path TSP to TSP”" title="10.1137/20M135594X">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="item7550558" value="7550558" aria-label="mark item Zbl 07550558"></div> <div class="author"><a href="/authors/sun.jian" title="Author Profile">Sun, Jian</a>; <a href="/authors/gutin.gregory-z" title="Author Profile">Gutin, Gregory</a>; <a href="/authors/zhang.xiaoyan.1" title="Author Profile">Zhang, Xiaoyan</a></div> <h3 class="title"> <a href="/7550558"><strong>A LP-based approximation algorithm for generalized traveling salesperson path problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7550558">Zbl 07550558</a> </h3> <div class="source"> Du, Ding-Zhu (ed.) et al., Combinatorial optimization and applications. 15th international conference, COCOA 2021, Tianjin, China, December 17–19, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13135, 641-652 (2021). </div><div class="classification"> MSC: <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%3A90C27" title="Combinatorial optimization">90C27</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">×</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 07550558" data-ciurl="/ci/07550558" data-biburl="/bibtex/07550558.bib" data-amsurl="/amsrefs/07550558.bib" data-xmlurl="/xml/07550558.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07550558.pdf" title="Zbl 07550558 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/10.1007/978-3-030-92681-6_50" aria-label="DOI for “A LP-based approximation algorithm for generalized traveling salesperson path problem”" title="10.1007/978-3-030-92681-6_50">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="item7651191" value="7651191" aria-label="mark item Zbl 07651191"></div> <div class="author"><a href="/authors/friggstad.zachary" title="Author Profile">Friggstad, Zachary</a>; <a href="/authors/swamy.chaitanya" title="Author Profile">Swamy, Chaitanya</a></div> <h3 class="title"> <a href="/7651191"><strong>A constant-factor approximation for directed latency in quasi-polynomial time.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7651191">Zbl 07651191</a> </h3> <div class="source"> Grandoni, Fabrizio (ed.) et al., 28th annual European symposium on algorithms. ESA 2020, September 7–9, 2020, Pisa, Italy, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 173, Article 52, 20 p. 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Lett.</a> <a href="/?q=in%3A461105" title="Articles in this Issue">48, No. 5, 627-629 (2020)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</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">×</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 1479.90183" data-ciurl="/ci/07331178" data-biburl="/bibtex/07331178.bib" data-amsurl="/amsrefs/07331178.bib" data-xmlurl="/xml/07331178.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07331178.pdf" title="Zbl 1479.90183 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.orl.2020.07.015" aria-label="DOI for “Slightly improved upper bound on the integrality ratio for the \(s - t\) path TSP”" title="10.1016/j.orl.2020.07.015">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2004.07217"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="item7165782" value="7165782" aria-label="mark item Zbl 1476.90292"></div> <div class="author"><a href="/authors/traub.vera" title="Author Profile">Traub, Vera</a>; <a href="/authors/vygen.jens" title="Author Profile">Vygen, Jens</a></div> <h3 class="title"> <a href="/1476.90292"><strong>An improved upper bound on the integrality ratio for the \(s\)-\(t\)-path TSP.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1476.90292">Zbl 1476.90292</a> </h3> <div class="source"> <a href="/serials/918" title="Journal Profile">Oper. 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Lett.</a> <a href="/?q=in%3A446035" title="Articles in this Issue">47, No. 3, 225-228 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A68W40" title="Analysis of algorithms">68W40</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">×</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 1476.90292" data-ciurl="/ci/07165782" data-biburl="/bibtex/07165782.bib" data-amsurl="/amsrefs/07165782.bib" data-xmlurl="/xml/07165782.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07165782.pdf" title="Zbl 1476.90292 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.orl.2019.02.005" aria-label="DOI for “An improved upper bound on the integrality ratio for the \(s\)-\(t\)-path TSP”" title="10.1016/j.orl.2019.02.005">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1808.10734"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="item7138068" value="7138068" aria-label="mark item Zbl 1506.90235"></div> <div class="author"><a href="/authors/yang.yichen" title="Author Profile">Yang, Yichen</a>; <a href="/authors/liu.zhaohui" title="Author Profile">Liu, Zhaohui</a></div> <h3 class="title"> <a href="/1506.90235"><strong>Approximating the multiple-depot multiple-terminal Hamiltonian path problem.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1506.90235">Zbl 1506.90235</a> </h3> <div class="source"> <a href="/serials/3249" title="Journal Profile">Discrete Optim.</a> <a href="/?q=in%3A442863" title="Articles in this Issue">34, Article ID 100545, 10 p. (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C35" title="Programming involving graphs or networks">90C35</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1506.90235" data-ciurl="/ci/07138068" data-biburl="/bibtex/07138068.bib" data-amsurl="/amsrefs/07138068.bib" data-xmlurl="/xml/07138068.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07138068.pdf" title="Zbl 1506.90235 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.disopt.2019.05.002" aria-label="DOI for “Approximating the multiple-depot multiple-terminal Hamiltonian path problem”" title="10.1016/j.disopt.2019.05.002">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="item7136948" value="7136948" aria-label="mark item Zbl 1433.90140"></div> <div class="author"><a href="/authors/mohan.usha" title="Author Profile">Mohan, Usha</a>; <a href="/authors/ramani.sivaramakrishnan" title="Author Profile">Ramani, Sivaramakrishnan</a>; <a href="/authors/mishra.sounaka" title="Author Profile">Mishra, Sounaka</a></div> <h3 class="title"> <a href="/1433.90140"><strong>A 4-approximation algorithm for the TSP-path satisfying a biased triangle inequality.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1433.90140">Zbl 1433.90140</a> </h3> <div class="source"> <a href="/serials/68" title="Journal Profile">Discrete Appl. Math.</a> <a href="/?q=in%3A442756" title="Articles in this Issue">271, 108-118 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C35" title="Programming involving graphs or networks">90C35</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">×</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 1433.90140" data-ciurl="/ci/07136948" data-biburl="/bibtex/07136948.bib" data-amsurl="/amsrefs/07136948.bib" data-xmlurl="/xml/07136948.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07136948.pdf" title="Zbl 1433.90140 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.2019.08.007" aria-label="DOI for “A 4-approximation algorithm for the TSP-path satisfying a biased triangle inequality”" title="10.1016/j.dam.2019.08.007">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="item7109836" value="7109836" aria-label="mark item Zbl 1430.68353"></div> <div class="author"><a href="/authors/andersen.patrick-john" title="Author Profile">Andersen, Patrick J.</a>; <a href="/authors/ras.charl-j" title="Author Profile">Ras, Charl J.</a></div> <h3 class="title"> <a href="/1430.68353"><strong>Algorithms for Euclidean degree bounded spanning tree problems.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1430.68353">Zbl 1430.68353</a> </h3> <div class="source"> <a href="/serials/1372" title="Journal Profile">Int. 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Appl.</a> <a href="/?q=in%3A438795" title="Articles in this Issue">29, No. 2, 121-160 (2019)</a>. </div><div class="classification"> MSC: <a class="mono" href="/classification/?q=cc%3A68U05" title="Computer graphics; computational geometry (digital and algorithmic aspects)">68U05</a> <a class="mono" href="/classification/?q=cc%3A90C27" title="Combinatorial optimization">90C27</a> <a class="mono" href="/classification/?q=cc%3A90C59" title="Approximation methods and heuristics in mathematical programming">90C59</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">×</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 1430.68353" data-ciurl="/ci/07109836" data-biburl="/bibtex/07109836.bib" data-amsurl="/amsrefs/07109836.bib" data-xmlurl="/xml/07109836.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07109836.pdf" title="Zbl 1430.68353 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/10.1142/S0218195919500031" aria-label="DOI for “Algorithms for Euclidean degree bounded spanning tree problems”" title="10.1142/S0218195919500031">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1809.09348"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="item7064422" value="7064422" aria-label="mark item Zbl 1525.90372"></div> <div class="author"><a href="/authors/schalekamp.frans" title="Author Profile">Schalekamp, Frans</a>; <a href="/authors/sebo.andras" title="Author Profile">Sebo, András</a>; <a href="/authors/traub.vera" title="Author Profile">Traub, Vera</a>; <a href="/authors/van-zuylen.anke" title="Author Profile">van Zuylen, Anke</a></div> <h3 class="title"> <a href="/1525.90372"><strong>Layers and matroids for the traveling salesman’s paths.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1525.90372">Zbl 1525.90372</a> </h3> <div class="source"> <a href="/serials/918" title="Journal Profile">Oper. 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<!-- 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 1406.90105" data-ciurl="/ci/06966227" data-biburl="/bibtex/06966227.bib" data-amsurl="/amsrefs/06966227.bib" data-xmlurl="/xml/06966227.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06966227.pdf" title="Zbl 1406.90105 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/s10107-017-1202-z" aria-label="DOI for “Better \(s-t\)-tours by Gao trees”" title="10.1007/s10107-017-1202-z">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 …</h2> <div class="filter filter-st"> <h3 class="filter-caption">Access</h3> <ul><li> <a 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