THE GENERALIZED ZAGREB INDEX OF CIRCUMCORONENE SERIES OF BENZENOID

Purchase PDF

Published: 2015-04-29

Page: 7-11


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


How to Cite

FARAHANI, M. R. (2015). THE GENERALIZED ZAGREB INDEX OF CIRCUMCORONENE SERIES OF BENZENOID. Journal of Applied Physical Science International, 3(1), 7–11. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/2908

Downloads

Download data is not yet available.