{ "id": "1504.00173", "version": "v1", "published": "2015-04-01T10:19:06.000Z", "updated": "2015-04-01T10:19:06.000Z", "title": "On covers of graphs by Cayley graphs", "authors": [ "Agelos Georgakopoulos" ], "categories": [ "math.GR", "math.CO" ], "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.", "revisions": [ { "version": "v1", "updated": "2015-04-01T10:19:06.000Z" } ], "analyses": { "subjects": [ "20F65", "05C10", "05C25" ], "keywords": [ "cayley graphs", "general property", "graph covers", "isomorphic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }