Quasi-transitive $K_\infty$-minor free graphs
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914813720920064 |
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| author | Hamann, Matthias |
| author_facet | Hamann, Matthias |
| contents | We prove that every locally finite quasi-transitive graph that does not contain $K_\infty$ as a minor is quasi-isometric to some planar quasi-transitive locally finite graph. This solves a problem of Esperet and Giocanti and improves their recent result that such graphs are quasi-isometric to some planar graph of bounded degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-transitive $K_\infty$-minor free graphs Hamann, Matthias Combinatorics We prove that every locally finite quasi-transitive graph that does not contain $K_\infty$ as a minor is quasi-isometric to some planar quasi-transitive locally finite graph. This solves a problem of Esperet and Giocanti and improves their recent result that such graphs are quasi-isometric to some planar graph of bounded degree. |
| title | Quasi-transitive $K_\infty$-minor free graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.17218 |