Toroidal involutory Cayley graphs
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918111970590720 |
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| author | Keshavarzi, Hamide Amini, Babak Amini, Afshin Rahimi, Shahin |
| author_facet | Keshavarzi, Hamide Amini, Babak Amini, Afshin Rahimi, Shahin |
| contents | Suppose that $R$ is a finite commutative ring with identity. The involutory Cayley graph $\G(R)$ of $R$ is the graph whose vertices are the elements of $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $(x-y)^2=1$. In this paper, we classify all rings $R$ for which $\G(R)$ is a toroidal graph, that is, a graph that can be embedded on a torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toroidal involutory Cayley graphs Keshavarzi, Hamide Amini, Babak Amini, Afshin Rahimi, Shahin Combinatorics Commutative Algebra Suppose that $R$ is a finite commutative ring with identity. The involutory Cayley graph $\G(R)$ of $R$ is the graph whose vertices are the elements of $R$, and two distinct vertices $x$ and $y$ are adjacent if and only if $(x-y)^2=1$. In this paper, we classify all rings $R$ for which $\G(R)$ is a toroidal graph, that is, a graph that can be embedded on a torus. |
| title | Toroidal involutory Cayley graphs |
| topic | Combinatorics Commutative Algebra |
| url | https://arxiv.org/abs/2508.01200 |