Neighborhood version of molecular descriptors for benzene type ring graphs

This study explores the utilization of topological graph invariants, or molecular descriptors, to mathematically model chemical compounds. These descriptors are vital in quantifying the physio-chemical characteristics of a compound, and are commonly represented as shapes such as polygons, bushes, and grapes. Specifically, this research focuses on computing selected fifth multiplicative first and second Zagreb indices, third and fourth multiplicative general fifth multiplicative Zagreb indices, and other degree-based topological indices for the benzene ring graph ([Formula: see text] and the simple bounded dual of benzene ring graph ([Formula: see text]. The findings of this study are then compared to demonstrate the impact of these molecular descriptors.