Publication details

Hamilton cycles in prisms

Authors

KAISER T RYJACEK Z KRÁĽ Daniel ROSENFELD M VOSS HJ

Year of publication 2007
Type Article in Periodical
Magazine / Source Journal of Graph Theory
Citation
Web https://edit.elte.hu/xmlui/handle/10831/50219
Doi http://dx.doi.org/10.1002/jgt.20250
Keywords hamilton cycles; graph prisms; planar graphs; line graphs; toughness
Description The prism over a graph G is the Cartesian product G square K-2 of G with the complete graph K-2. If G is hamiltonian, then G square K-2 is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be an interesting relaxation of being hamiltonian. In this article, we examine classical problems on hamiltonicity of graphs in the context of having a hamiltonian prism. (c) 2007 Wiley Periodicals, Inc.

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