Abstract : The prisms over cubic graphs are 4-regular graphs. The prisms over 3-connected cubic graphs are Hamiltonian. In 1986 Brian Alspach and Moshe Rosenfeld conjectured that these prisms are Hamiltonian decomposable. In this paper we present a short survey of the status of this conjecture, various constructions proving that certain families of prisms over 3-connected cubic graphs are Hamiltonian decomposable. Among others, we prove that the prisms over cubic Halin graphs, cubic generalized Halin graphs of order 4k + 2 and other infinite sequences of cubic graphs are Hamiltonian decomposable.
https://hal.inria.fr/hal-01185619
Contributeur : Coordination Episciences Iam
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Soumis le : jeudi 20 août 2015 - 17:14:06
Dernière modification le : jeudi 7 septembre 2017 - 01:03:42
Document(s) archivé(s) le : mercredi 26 avril 2017 - 10:05:08
