The commuting conjugacy class graphs of finite groups with a given property

Let G be a finite non-abelian group. The commuting conjugacy class graph Gamma(G) is defined as a graph whose vertices are non-central conjugacy classes of G and two distinct vertices X and Yin Gamma(G) are connected by an edge if there exist elements x is an element of X and y is an element of Y such that xy = yx. In this paper, the structure of the commuting conjugacy class graph of group G with the property that G/Z(G) is isomorphic to a Frobenius group of order pq or p(2)q, is determined.