Opuscula Math. 38, no. 3 (2018), 357-377

Opuscula Mathematica

Forbidden configurations for hypohamiltonian graphs

Igor Fabrici
Tomáš Madaras
Mária Timková

Abstract. A graph \(G\) is called hypohamiltonian if \(G\) is not hamiltonian, but \(G-x\) is hamiltonian for each vertex \(x\) of \(G\). We present a list of 331 forbidden configurations which do not appear in hypohamiltonian graphs.

Keywords: hypohamiltonian graph, forbidden configuration, long cycle.

Mathematics Subject Classification: 05C38, 05C45.

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  • Igor Fabrici
  • P.J. Šafárik University in Košice, Faculty of Science, Institute of Mathematics, Jesenná 5, 040 01 Košice, Slovakia
  • Tomáš Madaras
  • P.J. Šafárik University in Košice, Faculty of Science, Institute of Mathematics, Jesenná 5, 040 01 Košice, Slovakia
  • Mária Timková
  • Technical University of Košice, Faculty of Electrical Engineering and Informatics, Department of Mathematics and Theoretical Informatics, Němcovej 32, 042 00 Košice, Slovakia
  • Communicated by Adam Paweł Wojda.
  • Received: 2017-10-12.
  • Revised: 2018-01-26.
  • Accepted: 2018-02-03.
  • Published online: 2018-03-19.
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Cite this article as:
Igor Fabrici, Tomáš Madaras, Mária Timková, Forbidden configurations for hypohamiltonian graphs, Opuscula Math. 38, no. 3 (2018), 357-377, https://doi.org/10.7494/OpMath.2018.38.3.357

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