On the order of semiregular automorphisms of cubic vertex-transitive graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929638420250624 |
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| author | Barbieri, Marco Grazian, Valentina Spiga, Pablo |
| author_facet | Barbieri, Marco Grazian, Valentina Spiga, Pablo |
| contents | We prove that, if $Γ$ is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of $Γ$ of order at least $6$, or the number of vertices of $Γ$ is bounded above by an absolute constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00034 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the order of semiregular automorphisms of cubic vertex-transitive graphs Barbieri, Marco Grazian, Valentina Spiga, Pablo Combinatorics Group Theory 05C25, 20B25 We prove that, if $Γ$ is a finite connected cubic vertex-transitive graph, then either there exists a semiregular automorphism of $Γ$ of order at least $6$, or the number of vertices of $Γ$ is bounded above by an absolute constant. |
| title | On the order of semiregular automorphisms of cubic vertex-transitive graphs |
| topic | Combinatorics Group Theory 05C25, 20B25 |
| url | https://arxiv.org/abs/2302.00034 |