Regular graphs in which every pair of points is missed by some longest cycle

Boris Schauerte, Carol T. Zamfirescu

Research output: Contribution to journalArticlepeer-review

Abstract

In Petersen's well-known cubic graph every vertex is missed by some longest cycle. Thomassen produced a planar graph with this property. Grunbaum found a cubic graph, in which any two vertices are missed by some longest cycle. In this paper we present a cubic planar graph fulfilling this condition.
Original languageEnglish
Pages (from-to)154-173
Number of pages20
JournalAnnals of the University of Craiova-mathematics and Computer Science Series
Volume33
Publication statusPublished - 2006

Keywords

  • 3-connected
  • Planar
  • Cubic
  • Graph

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