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A Cayley graph  Γ  is said to be  arc - transitive  if its full automorphism group Aut Γ  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.

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