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arXiv · 2508.01202

Involutory Cayley graphs of polynomial and power series rings over the ring of integers modulo $n$

Hamide Keshavarzi·Afshin Amini·Babak Amini
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Abstract

Let $R$ be a commutative ring with identity. The involutory Cayley graph $\mathcal{G}(R)$ of $R$ is defined as the graph whose vertex set is the set of elements of $R$, where two vertices $a$ and $b$ are adjacent exactly when $(a-b)^2=1$. This paper investigates the properties of involutory Cayley graphs associated with polynomial and power series rings over the ring of integers modulo $n$.

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Hamide Keshavarzi, Afshin Amini, Babak Amini. 2025-08-02. Involutory Cayley graphs of polynomial and power series rings over the ring of integers modulo $n$. https://arxiv.org/abs/2508.01202

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