Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2411.17780 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913587151241216 |
|---|---|
| author | Du, Shaofei Luo, Wenjuan Yu, Hao |
| author_facet | Du, Shaofei Luo, Wenjuan Yu, Hao |
| contents | It was shown by Kutnar, Maru\v si\v c and Zhang in 2012 that every connected vertex-transitive graph of order $10p$, where $p$ is a prime and $p\ne 7$, contains a Hamilton path, except for graphs $X$ arising from the action of PSL$(2, s^m)$ on cosets of $\mathbb{Z}_s^m\rtimes \mathbb{Z}_{\frac{s^m-1}{10}}$, where $s$ is a prime. In this paper, Hamilton cycles of these exceptions $X$ will be found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17780 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Hamilton paths in vertex-transitive graphs of order $10p$ Du, Shaofei Luo, Wenjuan Yu, Hao Combinatorics It was shown by Kutnar, Maru\v si\v c and Zhang in 2012 that every connected vertex-transitive graph of order $10p$, where $p$ is a prime and $p\ne 7$, contains a Hamilton path, except for graphs $X$ arising from the action of PSL$(2, s^m)$ on cosets of $\mathbb{Z}_s^m\rtimes \mathbb{Z}_{\frac{s^m-1}{10}}$, where $s$ is a prime. In this paper, Hamilton cycles of these exceptions $X$ will be found. |
| title | On Hamilton paths in vertex-transitive graphs of order $10p$ |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2411.17780 |