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On the Stabilizer of the Automorphism Group of a 4-valent Vertex-transitive Graph with Odd-prime-power Order
cayley graphs s -arc-transitive vertex-transitive
2007/12/11
Let X be a 4-valent connected vertex-transitive graph with odd-prime-power order p~k (k ≥ 1), and let A be the full automorphism group of X. In this paper, we prove that the stabilizer Av of a vertex ...