English

On covers of graphs by Cayley graphs

Group Theory 2015-04-02 v1 Combinatorics

Abstract

We prove that every vertex transitive, planar, 1-ended, graph covers every graph whose balls of radius r are isomorphic to the ball of radius r in G for a sufficiently large r. We ask whether this is a general property of finitely presented Cayley graphs, as well as further related questions.

Keywords

Cite

@article{arxiv.1504.00173,
  title  = {On covers of graphs by Cayley graphs},
  author = {Agelos Georgakopoulos},
  journal= {arXiv preprint arXiv:1504.00173},
  year   = {2015}
}