THE SIGMA INDEX OF GRAPH OPERATIONS

被引：0

作者：

Jahanbani, Akbar ^{[1
]}

Ediz, Suleyman ^{[2
]}

机构：

[1] Shahrood Univ Technol, Dept Math, Shahrood, Iran

[2] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey

来源：

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2019年 / 37卷 / 01期

关键词：

Graph operations; sigma index; zagreb index;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Let G be a graph of order n with vertices labeled as nu(1), nu(2),., nu(n). Let di be the degree of the vertex nu i, for i = 1, 2,., n. The sigma index, which have been defined very recently, of G is sigma(G) = Sigma(vivj epsilon E(G))(d(i) - d(j))(2). In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.

引用

页码：155 / 162

页数：8

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