Physical analysis of eccentricity-based topological indices for Hex-derived networks

Abstract

The molecular topological descriptors, which are the numerical invariants of a molecule’s structure, are very good in foretelling a molecule’s bioactivity. Because of its usefulness in many areas of mathematical chemistry, graph theory has achieved tremendous advancements in this field and has become quite popular among scientists. Many of these indices are used and researched in the domains of chemistry, pharmacology, drug manufacture, and other related subjects. This paper calculates the eccentricity indices of a HDN network of the third kind, as well as the total and average eccentricities, [Formula: see text], [Formula: see text], and eccentric version of Zagreb indices. For these descriptors, we also provide analytically closed equations that could be applied in order to explore the network’s underlying topologies.