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arXiv · 2409.06138

Hamilton cycles in vertex-transitive graphs of order $6p$

Shaofei Du·Tianlei Zhou
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Abstract

It was shown by Kutnar and \v Sparl in 2009 that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path. In this paper, it will be shown that every such graph contains a Hamilton cycle, except for the triangle-replaced graph of the Petersen graph.

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Shaofei Du, Tianlei Zhou. 2025-02-07. Hamilton cycles in vertex-transitive graphs of order $6p$. https://arxiv.org/abs/2409.06138

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