New formula of degree distance index for some complex networks

Abstract

Mathematics plays an important role in various fields, one of them is graph theory. Graphs can be used to model many types of relations and processes in many domains such as solving problems related to mathematical chemistry by using topological indices. A topological index of a graph is a number that quantifies the structure of the graph. It is used for modeling the biological and chemical properties of molecules in QSPR (Qualitative Structure-Property Relationships) and QSAR (Qualitative Structure-Activity Relationships) studies. The Degree Distance index DD(G) is one of the important topological indices. In this paper, we are going to determine DD(G) for some complex graphs like: Star vertex’s graph (SV), Star edge’s graph (SE), and Path’s graph (P).