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