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An automorphism of a graph G =(V,E)is a bijective map φ from V to itself such that φ(vi)φ(vj)∈ E(=)vivj∈ E for any two vertices vi and vj of G.Denote by (R) the group consisting of all automorphisms of G.As well-known,orbits and block systems are vitally important in characterizing the structure of the action of (R) on V and the problem of finding a generating set of (R) is the Automorphism Group Problem.