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arXiv:2502.06144 [math.CO]AbstractReferencesReviewsResources

On finite approximations of transitive graphs

Andreas Thom

Published 2025-02-10Version 1

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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