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Some normal edge-transitive Cayley graphs on Frobenius groups F_(p, 3)
C. Adiga,A. A. Talebi,H. Ariamanesh 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.3
Let G be a finite group and S a subset of G such that S = S^−1and 1_G ∈/ S. Then the Cayley graph Γ = Cay(G, S) relative to S is the graph with vertex set G and edge set E(Γ(G, S)) = {gh | hg^−1 ∈ S}. Since S is inverse closed and does not contain the identity, this graph is undirected and has no loops. A Cayley graph of a finite group G is called normal edge-transitive,if its automorphism group has a subgroup which both normalizes G and acts transitively on edges. In this paper we determine some normal edge-transitive Cayley Graphs on Frobenius Groups F_p,3, where p is a prime and 3 | p − 1.