Involutory Cayley graphs of polynomial and power series rings over the ring of integers modulo $n$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912518056706048 |
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| author | Keshavarzi, Hamide Amini, Afshin Amini, Babak |
| author_facet | Keshavarzi, Hamide Amini, Afshin Amini, Babak |
| contents | 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 $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Involutory Cayley graphs of polynomial and power series rings over the ring of integers modulo $n$ Keshavarzi, Hamide Amini, Afshin Amini, Babak Commutative Algebra Combinatorics 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 $n$. |
| title | Involutory Cayley graphs of polynomial and power series rings over the ring of integers modulo $n$ |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2508.01202 |