Zagreb indices and their polynomials of the linear parallelogram of benzenoid graph

Let G be a simple connected molecular graph, with vertex/atom set V(G) and edge/bond set E(G). In chemical graphs, the vertices correspond to the atoms of the molecule and the edges represent the chemical bonds. Computing the topological indices of molecular graphs are important branches in chemical graph theory. In this paper, we compute the first and the Second Zagreb indices and their polynomials of an infinite family of the linear parallelogram of benzenoid graph.