On finite approximations of transitive graphs
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912226132099072 |
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| author | Thom, Andreas |
| author_facet | Thom, Andreas |
| contents | In this note we answer a question of Johannes Carmesin, which was circulated at the Oberwolfach Workshop on "Graph Theory" in January 2025. We provide a unimodular, locally finite, and vertex-transitive graph without any perfect finite $r$-local model for $r \in \mathbb N$ large enough. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On finite approximations of transitive graphs Thom, Andreas Combinatorics Group Theory In this note we answer a question of Johannes Carmesin, which was circulated at the Oberwolfach Workshop on "Graph Theory" in January 2025. We provide a unimodular, locally finite, and vertex-transitive graph without any perfect finite $r$-local model for $r \in \mathbb N$ large enough. |
| title | On finite approximations of transitive graphs |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2502.06144 |