Some properties of generalized Cayley graphs
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915067602141184 |
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| author | Qianfen, Liao Weijun, Liu Pengli, Zhang |
| author_facet | Qianfen, Liao Weijun, Liu Pengli, Zhang |
| contents | In this paper, firstly, we provide some necessary and sufficient conditions for generalized Cayley graphs on abelian groups to be bipartite. Secondly, we deduce several necessary and sufficient conditions for generalized Cayley graphs on finite groups to be connected. At last, as a by-product, we determine the groups whose all cubic generalized Cayley graphs are connected and integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19370 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some properties of generalized Cayley graphs Qianfen, Liao Weijun, Liu Pengli, Zhang Combinatorics In this paper, firstly, we provide some necessary and sufficient conditions for generalized Cayley graphs on abelian groups to be bipartite. Secondly, we deduce several necessary and sufficient conditions for generalized Cayley graphs on finite groups to be connected. At last, as a by-product, we determine the groups whose all cubic generalized Cayley graphs are connected and integral. |
| title | Some properties of generalized Cayley graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2310.19370 |