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arXiv · 2403.05635

On certain properties of the $p$-unitary Cayley graph over a finite ring

Tung T. Nguyen·Nguyen Duy Tân
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Abstract

In recent work, we study certain Cayley graphs associated with a finite commutative ring and their multiplicative subgroups. Among various results that we prove, we provide the necessary and sufficient conditions for such a Cayley graph to be prime. In this paper, we continue this line of research. Specifically, we investigate some basic properties of certain $p$-unitary Cayeley graphs associated with a finite commutative ring. In particular, under some mild conditions, we provide the necessary and sufficient conditions for this graph to be prime.

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Tung T. Nguyen, Nguyen Duy Tân. 2024-03-08. On certain properties of the $p$-unitary Cayley graph over a finite ring. https://arxiv.org/abs/2403.05635

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