Zagreb Energy and Zagreb Estrada Index of Graphs

被引：0

作者：

Rad, Nader Jafari ^{[1
]}

Jahanbani, Akbar ^{[1
]}

Gutman, Ivan ^{[2
]}

机构：

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

[2] Univ Kragujevac, Fac Sci, POB 60, Kragujevac 34000, Serbia

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2018年 / 79卷 / 02期

关键词：

MOLECULAR-ORBITALS; RANDIC ENERGY; OPERATIONS; BOUNDS;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Let G be a graph of order n with vertices labeled as v(1), v(2),..,v(n). Let d(i) be the degree of the vertex v(i) for i = 1,2,...,n. The (first) Zagreb matrix of G is the square matrix of order n whose (i, j)-entry is equal to d(i) + d(j) if v(i) is adjacent to v(j) and zero otherwise. We introduce and investigate the Zagreb energy and Zagreb Estrada index of a graph, both base on the eigenvalues of the Zagreb matrix. In addition, we establish upper and lower bounds for these new graph invariants, and relations between them.

引用

页码：371 / 386

页数：16

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