THE NORMALITY OF CAYLEY GRAPHS OF SIMPLE GROUP A_5 WITH SMALL VALENCIES

Let G be a finite group and S a subset of G not containing the identity element 1. We define the Cayley (di)graph X = Cay(G, S) of G with respect to S by V(X) = G, E(X) = {(g, sg) I g E G, s E S}. A Cayley (di)graph X = Cay(G, S) is called normal if GR d A = Ant(X). In this paper we prove that if S = {a, b, c} is a lgenerating subset of G = As not containing the idelltity 1, then X = Cay(G, S) is a normal Cayley digraph.