A note on quasi-transitive graphs quasi-isometric to planar (Cayley) graphs

Published 18 Jul 2024 in math.CO and math.GT | (2407.13375v1)

Abstract: Given a connected, locally finite, quasi-transitive graph $X$ which is quasi-isometric to a planar graph $\Gamma$, we remark that one can upgrade $\Gamma$ to be a planar Cayley graph, answering a question raised by Esperet--Giocanti and Hamann.

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Joseph MacManus

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