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On Planar Hypohamiltonian Graphs

Wiener, Gabor; Araya, Makoto


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/21823</identifier>
  <creators>
    <creator>
      <creatorName>Wiener, Gabor</creatorName>
      <givenName>Gabor</givenName>
      <familyName>Wiener</familyName>
      <affiliation>Budapest Univ Technol &amp; Econ, Dept Comp Sci &amp; Informat Theory, H-1117 Budapest, Hungary</affiliation>
    </creator>
    <creator>
      <creatorName>Araya, Makoto</creatorName>
      <givenName>Makoto</givenName>
      <familyName>Araya</familyName>
      <affiliation>Shizuoka Univ, Dept Comp Sci, Hamamatsu, Shizuoka 4328011, Japan</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Planar Hypohamiltonian Graphs</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2011</publicationYear>
  <dates>
    <date dateType="Issued">2011-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
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  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1002/jgt.20513</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">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 &amp;gt;= N there exists a planar hypohamiltonian/hypotraceable graph on n vertices. (C) 2010 Wiley Periodicals, Inc. J Graph Theory 67: 55-68, 2011</description>
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