Pentavalent arc-transitive Cayley graphs on Frobenius groups with soluble vertex stabilizer

Abstract

A Cayley graph Γ is said to be arc-transitive if its full automorphism group AutΓ is transitive on the arc set of Γ. In this paper we give a characterization of pentavalent arc-transitive Cayley graphs on a class of Frobenius groups with soluble vertex stabilizer.

Keywords

• arc-transitive graph
• frobenius group
• cayley graph
• soluble vertex stabilizer
• 20b25
• 05c25