Document Zbl 1450.05050

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Discrete Math.</a> <a href="/?q=in%3A454637" title="Articles in this Issue">34, No. 3, 1670-1692 (2020)</a>. </div> <div class="abstract">Summary: A famous theorem of <span class="zbmathjax-textit">G. A. Dirac</span> [Proc. Lond. Math. Soc. (3) 2, 69–81 (1952; <a href="/0047.17001">Zbl 0047.17001</a>)] states that any graph on $n$ vertices with minimum degree at least $n/2$ has a Hamilton cycle. Such graphs are called Dirac graphs. Strengthening this result, we show the existence of rainbow Hamilton cycles in $\mu n$-bounded colorings of Dirac graphs for sufficiently small $\mu>0$.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7267903">Cited in <strong>12</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A05C45" title="MSC2020">05C45</a> </td> <td class="space"> Eulerian and Hamiltonian graphs </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A05C55" title="MSC2020">05C55</a> </td> <td class="space"> Generalized Ramsey theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A05D40" title="MSC2020">05D40</a> </td> <td class="space"> Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A05C07" title="MSC2020">05C07</a> </td> <td class="space"> Vertex degrees </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Arainbow">rainbow</a>; <a href="/?q=ut%3AHamilton+cycle">Hamilton cycle</a>; <a href="/?q=ut%3Alopsided+Lov%C3%A1sz+local+lemma">lopsided Lovász local lemma</a>; <a href="/?q=ut%3ADirac+graphs">Dirac graphs</a>; <a href="/?q=ut%3ALov%C3%A1sz+local+lemma">Lovász local lemma</a>; <a href="/?q=ut%3Aswitchings">switchings</a></div><div class="keywords"> <h3>Citations:</h3><a href="/0047.17001">Zbl 0047.17001</a></div>  <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;">  </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">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1450.05050" data-ciurl="/ci/07267903" data-biburl="/bibtex/07267903.bib" data-amsurl="/amsrefs/07267903.bib" data-xmlurl="/xml/07267903.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07267903.pdf" title="Zbl 1450.05050 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/10.1137/18M1218881" aria-label="DOI for “A rainbow Dirac's theorem”" title="10.1137/18M1218881">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1809.06392"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">M. 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