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Locally homogeneous graphs from groups

✍ Scribed by Andrew Vince

Publisher: John Wiley and Sons
Year: 1981
Tongue: English
Weight: 275 KB
Volume: 5
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190050411

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✦ Synopsis

Abstract

A graph is called locally homogeneous if the subgraphs induced at any two points are isomorphic. in this Note we give a method for constructing locally homogeneous graphs from groups. the graphs constructable in this way are exactly the locally homogeneous graphs with a point symmetric universal cover. As an example we characterize the graphs that are locally n‐cycles.

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