Normality Of Small Degree Cayley Graphs For Two Classes Of Groups

Let G be a finite group and S a subset of G such that l(?)S. A Cayley 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 firstly classify3-valent Cayley graphs of quasi-dihedral groups and semi-dihedral groups of order4m,secondly determine4-valent Cayley graphs of quasi-dihedral groups of order8p,G1=<a,b|a4p=b2=1,nb=a2p+1?,where p is an odd prime,and get a class of normal one-regular Cayley graphs.