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A Conjecture Concerning a Limit of Non-Cayley Graphs |
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| Authors: | Reinhard Diestel Imre Leader |
| Affiliation: | (1) Department of Mathematics, University of Hamburg, Bundesstr. 55, 20146 Hamburg, Germany;(2) Department of Mathematics, University College London, Gower St., London, WC1E 6BT, UK |
| 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. |
| Keywords: | Cayley graph transitive quasi-isometry infinite |
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