On certain properties of the $p$-unitary Cayley graph over a finite ring
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914708262486016 |
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| author | Nguyen, Tung T. Tân, Nguyen Duy |
| author_facet | Nguyen, Tung T. Tân, Nguyen Duy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On certain properties of the $p$-unitary Cayley graph over a finite ring Nguyen, Tung T. Tân, Nguyen Duy Combinatorics 05C25, 05C50, 05C51 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. |
| title | On certain properties of the $p$-unitary Cayley graph over a finite ring |
| topic | Combinatorics 05C25, 05C50, 05C51 |
| url | https://arxiv.org/abs/2403.05635 |