THE GENERALIZED ZAGREB INDEX OF CIRCUMCORONENE SERIES OF BENZENOID
MOHAMMAD REZA FARAHANI *
Department of Applied Mathematics of Iran, University of Science and Technology (IUST), Narmak, Tehran 16844, Iran.
*Author to whom correspondence should be addressed.
Abstract
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 invariant polynomials and topological indices for a molecular graph. The First and Second Zagreb indices are equal to M1(G)= ∑v∈V(G) dv2 and M2(G)= ∑uv∈E(G) (du×dv), respectively.
In this paper, we focus on the structure of molecular graph Circumcoronene series of benzenoid Hk (k≥1) and compute its Generalized Zagreb index.
Keywords: Molecular graph, benzenoid, zagreb indices, generalized zagreb index