交错群A_5的3度Cayley图

CAYLEY GRAPHS OF VALENCY 3 OF SIMPLE GROUP A_5

设G是一个有限群,S是群G的一个不含单位元1的子集,则G的关于S的Cayle图Γ=Cay(G,S)可由如下关系式定义:V(Γ)=GE(Γ)={(g,sg)|g∈G,s∈S}给出3度Cayley图Γ=Cay(As,S),即|S|=3时三个不同构类图的特征刻划,见定理1.

Let G be a finite group and S a subset of G not containing the identity element 1, then Cayley diagraph r=Cay(G ,S) of G with respect to 5 may be defined by the following:We determine three classes Cayley digraphs = Cay(As,S) and describe such digraphs in Theorem 1, when |S|=3.