A complete classification of perfect unitary Cayley graphs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916380212723712 |
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| author | Mináč, Ján Nguyen, Tung T. Tân, Nguyen Duy |
| author_facet | Mináč, Ján Nguyen, Tung T. Tân, Nguyen Duy |
| contents | Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of mathematics, including number theory, finite algebra, representation theory, and graph theory. In this article, we study the perfectness property of these graphs. More precisely, we provide a complete classification of perfect unitary Cayley graphs associated with finite rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A complete classification of perfect unitary Cayley graphs Mináč, Ján Nguyen, Tung T. Tân, Nguyen Duy Combinatorics Rings and Algebras Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of mathematics, including number theory, finite algebra, representation theory, and graph theory. In this article, we study the perfectness property of these graphs. More precisely, we provide a complete classification of perfect unitary Cayley graphs associated with finite rings. |
| title | A complete classification of perfect unitary Cayley graphs |
| topic | Combinatorics Rings and Algebras |
| url | https://arxiv.org/abs/2409.01922 |