Hamilton cycles in vertex-transitive graphs of order $6p$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909481538945024 |
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| author | Du, Shaofei Zhou, Tianlei |
| author_facet | Du, Shaofei Zhou, Tianlei |
| contents | It was shown by Kutnar and \v Sparl in 2009 that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path. In this paper, it will be shown that every such graph contains a Hamilton cycle, except for the triangle-replaced graph of the Petersen graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06138 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hamilton cycles in vertex-transitive graphs of order $6p$ Du, Shaofei Zhou, Tianlei Combinatorics It was shown by Kutnar and \v Sparl in 2009 that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path. In this paper, it will be shown that every such graph contains a Hamilton cycle, except for the triangle-replaced graph of the Petersen graph. |
| title | Hamilton cycles in vertex-transitive graphs of order $6p$ |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2409.06138 |