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arXiv · 2310.19370

Some properties of generalized Cayley graphs

Liao Qianfen·Liu Weijun·Zhang Pengli
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Abstract

In this paper, firstly, we provide some necessary and sufficient conditions for generalized Cayley graphs on abelian groups to be bipartite. Secondly, we deduce several necessary and sufficient conditions for generalized Cayley graphs on finite groups to be connected. At last, as a by-product, we determine the groups whose all cubic generalized Cayley graphs are connected and integral.

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Liao Qianfen, Liu Weijun, Zhang Pengli. 2024-12-17. Some properties of generalized Cayley graphs. https://arxiv.org/abs/2310.19370

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