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arXiv · 2502.06144

On finite approximations of transitive graphs

Andreas Thom
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Abstract

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.

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Andreas Thom. 2025-02-10. On finite approximations of transitive graphs. https://arxiv.org/abs/2502.06144

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