The (a,b)-Zagreb index of line graphs of subdivision graphs of some molecular structures

Abstract

A graph is a mathematical model used to predict the topology of a given system. In chemical graph theory, a graph is designed by considering atoms as vertices and edges as bonds between atoms of a particular molecule. A topological index or molecular structure descriptor is a numeric quantity associated with the chemical constitution which correlated with various physiochemical properties of the chemical structure. In this paper, we study the (a,b)-Zagreb index of line graphs of the subdivision graphs of some chemical structures.

Keywords

• vertex degree-based graph invariants
• (a,b)-zagreb index
• line graphs of subdivision graphs