Topological Indices Based on Line Graph of Different Chemical and Non Chemical Structures

Abstract

The utilization of graph theory has expanded considerably across various disciplines, with notable advancements in chemical graph theory. In recent years, researchers have explored numerous innovative avenues within this field. A chemical graph models a molecule by representing atoms as vertices and chemical bonds as edges. Analyzing topological indices, which are mathematical measures of a molecule’s structure, is crucial for understanding its physical and chemical properties. Firstly, we focused on degree-based topological indices, namely the Randic index, atom bond connectivity index, geometric arithmetic index, the first and the second Zagreb indices and co-indices, hyper Zagreb index, Hyper Zagreb index of Subdivision graph and Line graph of Niobium Dioxide NbO2.