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Minor exclusion in quasi-transitive graphs

Published 25 Oct 2021 in math.CO | (2110.12841v1)

Abstract: In this note, we show that locally finite quasi-transitive graphs are quasi-isometric to trees if and only if every other locally finite quasi-transitive graph quasi-isometric to them is minor excluded. This generalizes results by Ostrovskii and Rosenthal and by Khukhro on minor exclusion for groups.

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