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Hamiltonian cycles in (2,3,c)-circulant digraphs

Dave Witte Morris·Joy Morris·Kerri Webb
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Abstract

Let D be the circulant digraph with n vertices and connection set {2,3,c}. (Assume D is loopless and has outdegree 3.) Work of S.C.Locke and D.Witte implies that if n is a multiple of 6, c is either (n/2) + 2 or (n/2) + 3, and c is even, then D does not have a hamiltonian cycle. For all other cases, we construct a hamiltonian cycle in D.

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Dave Witte Morris, Joy Morris, Kerri Webb. 2006-09-30. Hamiltonian cycles in (2,3,c)-circulant digraphs. https://arxiv.org/abs/math/0610010

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