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Constructing 4-Valent 12-Transitive Graphs with a Nonsolvable Automorphism Group

✍ Scribed by Aleksander Malnič; Dragan Marušič

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 149 KB
Volume: 75
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.1998.1857

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✦ Synopsis

A graph is said to be 1 2 -transitive if its automorphism group acts transitively on vertices and edges but not on arcs. For each n 11, a 1 2 -transitive graph of valency 4 and girth 6, with the automorphism group isomorphic to A n _Z 2 , is given.

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✍ Maru?i?, Dragan; Xu, Ming-Yao 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 108 KB 👁 2 views

A graph X is said to be 1 2 -transitive if its automorphism group acts transitively on the sets of its vertices and edges but intransitively on the set of its arcs. A construction of a 1 2 -transitive graph of valency 4 and girth 6 with a nonsolvable group of automorphism is given.