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.