Two generalized topological indices of some graph structures

Abstract

A topological index (TI) can capture many information of a chemical structure into a real number. The topological indices have an important role in theoretical chemistry. A topological index is a graph based molecular descriptor, which is graph theoretic invariant characterizing some physicochemical properties of chemical compounds. There are several topological indices that have been introduced in theoretical chemistry to measure the properties of chemical compounds, based on various parameters such as distance-based topological indices, degree-based topological indices etc. In recent times, unified approaches are also being adopted to study these topological indices in groups. In this work, we study the generalized ISI index and generalized Zagreb index with which we can obtain some other topological indices as special cases of conical graph, polyomino chains, trianglar benzenoid and lattice graph. These generalized indices surely reduce the work for calculating some topological indices differently.