, Volume 14, Issue 1, pp 17-25

A Conjecture Concerning a Limit of Non-Cayley Graphs

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Abstract

Our aim in this note is to present a transitive graph that we conjecture is not quasi-isometric to any Cayley graph. No such graph is currently known. Our graph arises both as an abstract limit in a suitable space of graphs and in a concrete way as a subset of a product of trees.