ON THE MAXIMUM NULLITY AND ZERO FORCING NUMBER OF CAYLEY GRAPH’S

Let G be a graph. The maximum nullity of G, denoted by M(G), is defined to be the largest possible nullity over all real symmetric matrices A whose a ij 6= 0 for i 6= j, whenever two vertices u i and u j of G are adjacent. In this paper, we characterize some new families of Cayley graphs X(G, S) whose Z(X(G, S)) = M(X(G, S)).