Flexible $3$-valent graphs of even girth
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911116628590592 |
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| author | Barbieri, Marco Zozaya, Andoni |
| author_facet | Barbieri, Marco Zozaya, Andoni |
| contents | We prove the existence of a connected flexible $3$-valent vertex-transitive graph of girth $2\ell$ for every integer $\ell$. We also give a constructive proof if $\ell$ is prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flexible $3$-valent graphs of even girth Barbieri, Marco Zozaya, Andoni Group Theory Combinatorics 20B25, 05C12, 20E05 We prove the existence of a connected flexible $3$-valent vertex-transitive graph of girth $2\ell$ for every integer $\ell$. We also give a constructive proof if $\ell$ is prime. |
| title | Flexible $3$-valent graphs of even girth |
| topic | Group Theory Combinatorics 20B25, 05C12, 20E05 |
| url | https://arxiv.org/abs/2508.16289 |