English

On finite approximations of transitive graphs

Combinatorics 2025-02-11 v1 Group Theory

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 rr-local model for rNr \in \mathbb N large enough.

Keywords

Cite

@article{arxiv.2502.06144,
  title  = {On finite approximations of transitive graphs},
  author = {Andreas Thom},
  journal= {arXiv preprint arXiv:2502.06144},
  year   = {2025}
}

Comments

3 pages

R2 v1 2026-06-28T21:38:05.604Z