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On \(2\)-arc-transitive covers of complete graphs. (English) Zbl 1026.05057

Summary: 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 \(\mathbb{Z}_p\times \mathbb{Z}_p\), where \(p\) is a prime and whose fibre-preserving subgroup of automorphisms acts 2-arc-transitively. As a result two new families of 2-arc-transitive graphs are obtained.

MSC:

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
05C10 Planar graphs; geometric and topological aspects of graph theory
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