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Graphs with symmetric automorphism group

✍ Scribed by W. D. Wallis; Katherine Heinrich

Publisher: John Wiley and Sons
Year: 1978
Tongue: English
Weight: 333 KB
Volume: 2
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190020407

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We investigate the properties of graphs whose automorphism group is the symmetric group. In particular, we characterize graphs on less than 2__n__ points with group S~n~, and construct all graphs on n + 3 points with group S~n~. Graphs with 2__n__ or more points and group S~n~ are discussed briefly.

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