✦ LIBER ✦

Automorphism groups of pictures

✍ Scribed by Gerhard Behrendt

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 186 KB
Volume: 14
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190140405

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✦ Synopsis

Abstract

A picture is a simple graph together with an edge‐coloring, such that each vertex is incident with exactly one edge of each color. An automorphism of a picture is a graph automorphism that preserves the colors of the edges. We show that every group is isomorphic to the full automorphism group of a picture, and prove that a group is isomorphic to a vertex‐transitive subgroup of the automorphism group of a picture if and only if it can be generated by involutions.

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