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On Planar Hypohamiltonian Graphs

Wiener, Gabor; Araya, Makoto


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  <dc:creator>Wiener, Gabor</dc:creator>
  <dc:creator>Araya, Makoto</dc:creator>
  <dc:date>2011-01-01</dc:date>
  <dc:description>We present a planar hypohamiltonian graph on 42 vertices and (as a corollary) a planar hypotraceable graph on 162 vertices, improving the bounds of Zamfirescu and Zamfirescu and show some other consequences. We also settle the open problem whether there exists a positive integer N, such that for every integer n &gt;= N there exists a planar hypohamiltonian/hypotraceable graph on n vertices. (C) 2010 Wiley Periodicals, Inc. J Graph Theory 67: 55-68, 2011</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/21823</dc:identifier>
  <dc:identifier>oai:zenodo.org:21823</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>JOURNAL OF GRAPH THEORY 67(1) 55-68</dc:source>
  <dc:title>On Planar Hypohamiltonian Graphs</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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