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 Γ ⁢ (G) is defined as a graph whose vertices are non-central conjugacy classes of G and two distinct vertices X and Y in Γ ⁢ (G) are connected by an edge if there exist elements x ∈ X and y ∈ Y such that x ⁢ y = y ⁢ x . 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. [ABSTRACT FROM AUTHOR]