Zagreb indices of some chemical structures using new products of graphs

Zagreb indices are one of the most extensively studied degree-based structural descriptors for analyzing various physicochemical properties of chemical compounds. In this paper, we define four new products of graphs based on adjacency relations and compute their Zagreb indices. Using these expressions we compute the Zagreb indices of various chemical compounds such as linear polyacene, a class of nanotubes NA۲n m , toroidal fullerene NC۲n ۲m(H۲n ۲m) and hexagonal lattice.

Keywords:

rst Zagreb index (M۱(G)) , second Zagreb index (M۲(G)) , Fullerenes