Volume no :4, Issue no: 1, March (2016)

THE SECOND MULTIPLICATIVE ZAGREB ECCENTRICITY INDEX OF CIRCUMCORONENE SERIES OF BENZENOID

Author's: Mohammad Reza Farahani and Wei Gao
Pages: [31] - [42]
Received Date: December 1, 2015; Revised December 14, 2015
Submitted by: Jianqiang Gao.
DOI: http://dx.doi.org/10.18642/ijamml_7100121590

Abstract

Let be a simple connected graph. The sets of vertices and edges of G are denoted by and respectively. The first and second Zagreb indices are equal to and respectively. The first and second multiplicative Zagreb eccentricity indices of G are defined, respectively, as and respectively, where is the eccentricity of vertex v in graph G.

In this paper, we focus on the structure of molecular graph circumcoronene series of benzenoid and present a closed formula for the second multiplicative Zagreb eccentricity index of

Keywords

Zagreb indices, second multiplicative Zagreb eccentricity index, circumcoronene series of benzenoid.