Indian Journal of Science and Technology

Abstract

Nowadays, molecular descriptors are the most significant invariants utilised in molecular modeling, and as a result, they are controlled by statistics, chemo metrics, and chemo informatics. Topological indices (TIs) are receiving more and more attention from chemists and biologists, because of their significance in QSPR (Quantitative Structure Property Relationships) and QSAR (Quantitative Structure Activity Relationships). In this, Johan Zagreb chromatic indices of some chemical network graphs are presented. Objectives: The major objective of this article is to investigate the structure of three types of chemical network graphs, Hourglass, Jagged Rectangle, and Rhombic Benzenoid and to identify some Johan Zagreb indices for predicting their physical and chemical properties. Methods: Topological indices are usually based on underlying connectivity as characterized by degrees, distance or degree distance. Here, the study uses degree counting and edge sub division methods corresponding with Johan coloring of graphs. Findings: In this, we established a family of Johan Zagreb Indices, including the First, Second, and Third Johan Zagreb Indices and Hyper First and Second Johan Zagreb Indices, Augmented Johan Zagreb Index, Redefined First, Second, Third Johan Zagreb Indices. Novelty: There are many different chromatic indices that have already been used in the literature but Johan Zagreb chromatic indices deliver better results than the ones that have been already exists. Also we determined Python programming, which we used to compute the Zagreb Johan topological indices of graphs.

Keywords: Chromatic Indices; Hourglass Benzenoid; Jagged Rectangle Benzenoid; Rhombic Benzenoid; Johan Zagreb Indices; QSPR/QSAR