Zagreb Connection Indices for Some Benzenoid Systems

Abstract

A benzenoid system is a molecular structure discovered in organic chemistry that compris esa planar, cyclic arrangement of carbon atoms connected by alternating single and double bonds. Polycyclic hydrocarbons, heterocyclic compounds, and organic molecules with fused rings can all contain benzenoid system. A benzenoid system is a finite connected subgraph of an infinite hexagonal lattice that has neither non-hexagonal internal faces nor cut vertices. The ultimate goal is to derive mathematical formulas for first, second and modified Zagreb connection indices for the line graph of k-subdivided of six benzenoid systems(three pericondensed and three catacondensed systems). In the end, we compute graphical and numerical comparisons between the first, second, and modify Zagreb con nection indices of these systems