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On non-Hamiltonian circulant digraphs of outdegree three

Stephen C. Locke·Dave Witte Morris
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Abstract

We construct infinitely many connected, circulant digraphs of outdegree three that have no hamiltonian circuit. All of our examples have an even number of vertices, and our examples are of two types: either every vertex in the digraph is adjacent to two diametrically opposite vertices, or every vertex is adjacent to the vertex diametrically opposite to itself.

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BibTeXRIS

Stephen C. Locke, Dave Witte Morris. 1997-02-04. On non-Hamiltonian circulant digraphs of outdegree three. https://arxiv.org/abs/math/9702227

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