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On Hamiltonicity of circulant digraphs of outdegree threeŠtefko Miklavič,
Primož Šparl, 2009, original scientific article
Abstract: This paper deals with Hamiltonicity of connected loopless circulant digraphs of outdegree three with connection set of the form ▫$\{a,ka,c\}$▫, where ▫$k$▫ is an integer. In particular, we prove that if ▫$k=-1$▫ or ▫$k=2$▫ such a circulant digraph is Hamiltonian if and only if it is not isomorphic to the circulant digraph on 12 vertices with connection set ▫$\{3,6,4\}$▫.
Keywords: graph theory, circulant digraph, Hamilton cycle
Published in RUP: 15.10.2013; Views: 2965; Downloads: 101
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