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.