Arc-transitive elementary abelian covers of the complete graph
✍ Scribed by Boštjan Kuzman
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 206 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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📜 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
A distance-transitive antipodal cover of a complete graph K n possesses an automorphism group that acts 2-transitively on the fibres. The classification of finite simple groups implies a classification of finite 2-transitive permutation groups, and this allows us to determine all possibilities for s
Extending a result by Hartman and Rosa (1985, Europ. J. Combinatorics 6, 45-48), we prove that for any Abelian group G of even order, except for G Z 2 n with n > 2, there exists a onefactorization of the complete graph admitting G as a sharply-vertex-transitive automorphism group.