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Let G = (V,E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V (G) and E = E(G), respectively. In such a simple molecular graph, vertices represent atoms and edges represent bonds. In chemical graph theory, we have many topological indices for a molecular graph. The First and Second Zagreb indices are equal to M1(G) = ∑ uv∈E(G)[du + dv ] and M2(G) = ∑ uv∈E(G) dudv , respectively. In this paper, we focus on the structure of Capra-designed planar benzenoid series Cak(C6) (k ≥ 0), and compute its Generalized Zagreb index. AMS Mathematics Subject Classification : 05C12, 05C90.

The Generalized Zagreb Index of Capra-Designed Planar Benzenoid Series $Ca_k(C_6)$