Relations Between the Energy and Topological Indices of a Graph

被引：2

作者：

Jahanbani, Akbar ^{[1
]}

Sheikholeslami, Seyed Mahmoud ^{[1
]}

Filipovski, Slobodan ^{[2
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Tabriz, Iran

[2] Univ Primorska, Koper, Slovenia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 05期

关键词：

Energy of graphs; topological indices; Randic index; Zagreb index; BOND CONNECTIVITY INDEX; RANDIC INDEX; CONJECTURES;

D O I：

10.1007/s00009-023-02465-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give various lower and upper bounds for the energy of graphs in terms of several topological indices of graphs: the first general multiplicative Zagreb index, the general Randic index, the general zeroth-order Randic index, the redefined Zagreb indices, and the atom-bond connectivity index. Moreover, we obtain new bounds for the energy in terms of certain graph invariants as diameter, girth, algebraic connectivity and radius.

引用

页数：16

共 28 条

[1]

Aouchiche M, 2007, MATCH-COMMUN MATH CO, V58, P83

[2] Energy of a graph and Randic index [J].