Some graph parameters on the composite order Cayley graph

In this paper, the composite order Cayley graph is introduced. It is denoted by Cay(G, S), where G is a group and S is the set of all composite order elements of G. Some graph parameters such as diameter, girth, clique number, independence number,vertex hromatic number and domination number are calculated for the composite order Cayley graph of some certain groups. Moreover,the planarity of composite order Cayley graph is discussed.