Computation of multiplicative topological aspects of hex-derived networks

Abstract

A chemical network is numerically represented by a topological index in chemical graph theory. As opposed to its chemical representation, a topological descriptor correlates with specific physical properties of the underlying chemical molecules. In this article, third type of hex-derived networks HDN3(r), THDN3(r), are described. The goal of this study is to develop some updated and closed formulas based on multiplicative graph invariants. Such as ordinary geometric-arithmetic (OGA), general version of harmonic index (GHI), sum connectivity index (SI), general sum connectivity index (GSI), first and second Gourava and hyper-Gourava indices, Shegehalli and Kanabur indices, first generalized version of Zagreb index (GZI), and forgotten index (FI) for the hex-derived HDN3(r), THDN3(r), networks. Moreover, various types of edge for computing have been discovered and analyzed along with the order and size. The calculation of multiplicative topological features in networks that are generated from hexagonal structures is the main task of this work. Gaining more insight into the structural characteristics and possible uses of these networks requires examining the interaction between topological aspects and multiplication processes. To interpret the chemical compounds', physical and biological attributes, we can integrate the analysis of the networks stated above with the chemical compounds and their graphical structures. These results can be utilized to evaluate the biological and physio-chemical activities of compounds.