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On finite approximations of transitive graphs

2025/02/10 by Thom, Andreas
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2502.06144

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 ∈ \mathbb N large enough.

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