The adjacency matrix of the conjugate graph of metacyclic 2-groups

Let G be a metacyclic 2-group and g amma(conj,G) is the conjugate graph of G . The vertices of gamma(conj,G) are non-central elements in which two vertices are adjacent if they are conjugate. The adjacency matrix of gamma(conj,G) is a matrix A=[a(i,j)] consisting 0' s and 1' s in which the entry a(i,j) is 1 if there is an edge between i th and j th vertices and 0 otherwise. In this paper, the adjacency matrix of a conjugate graph of metacyclic 2-groups is presented.