Arc-transitive elementary abelian covers of the octahedron graph
β Scribed by Jin Ho Kwak; Ju-Mok Oh
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 218 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Regular covers of complete graphs which are 2-arc-transitive are investigated. A classification is given of all such graphs whose group of covering transformations is either cyclic or isomorphic to Z p \_Z p , where p is a prime and whose fibrepreserving subgroup of automorphisms acts 2-arc-transiti
By theorems of Tutte, Weiss, and others, it is known that there are no finite symmetric graphs of degree greater than 2 with automorphism group transitive on 8-arcs, and that 7-arc-transitivity can occur only in the case of graphs of degree 3 m q 1. In this article it is shown that there are infinit