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Hamilton cycles in prisms
Autoři | |
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Rok publikování | 2007 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Journal of Graph Theory |
Citace | |
www | https://edit.elte.hu/xmlui/handle/10831/50219 |
Doi | http://dx.doi.org/10.1002/jgt.20250 |
Klíčová slova | hamilton cycles; graph prisms; planar graphs; line graphs; toughness |
Popis | 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. |