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
On 2-Arc-Transitive Covers of Complete Graphs
✍ Scribed by Shao-fei Du; Dragan Marušič; Adrian O Waller
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 282 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0095-8956
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✦ Synopsis
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-transitively. As a result two new families of 2-arc-transitive graphs are obtained.
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