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

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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About the authors ▼
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
About the article ▼
Communicated by Adam Paweł Wojda.
Received: 2017-10-12.
Revised: 2018-01-26.
Accepted: 2018-02-03.
Published online: 2018-03-19.
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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