3-Valent Cay Ley Graphs Of Dihedral Group Of Order12P

Let G be a finite group and S a subset of G such that1φS.|S|=3. A Cay ley graph X=Cay(G,S) of group G is said to be normal if R(G), the group of right multiplications is normal in Aut(X). In this paper, by investigating the normality, we determine3-valent Cayley graphs of dihedral groups of order12p, G=〈a,b|a6p=b2=l,ab=a-1), where p(>3) is a prime. In addition we obtain several infinite families of non-normal Cayley graphs of dihedral groups and3degrees of regular representation.And G is not a weak3-CI group.