The wiener and zagreb indices of the order product prime graph

Abstract

opological indices are numerical values that serve as tools for modeling chemical properties and other properties of molecules which can be computed for a graph related to groups. On the other hand, the order product prime graph of finite groups is a graph having the proper elements of a group as its vertices and there is an edge joining two vertices if and only if the product of their order is a prime power. In this paper, the Wiener index, first and second Zagreb indices of the order product prime graph on dihedral groups have been generalized. The results in this paper will, therefore, contribute by adding more value to the investigation of the topological indices of graphs of groups.