Some degree-based topological indices and (normalized Laplacian) energy of graphs

被引：3

作者：

Yan, Zimo ^{[1
]}

Zheng, Xie ^{[1
]}

Li, Jianping ^{[1
]}

机构：

[1] Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R China

来源：

DISCRETE MATHEMATICS LETTERS | 2023年 / 11卷

基金：

中国国家自然科学基金;

关键词：

topological indices; graph energy; normalized Laplacian energy; energy of a vertex; RANDIC INDEX;

D O I：

10.47443/dml.2022.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by utilizing the concept of the energy of a vertex, connections between some vertex-degree-based topological indices (including the general Randic index, the first Zagreb index, and the forgotten index) and the energy of graphs are established. Several bounds on the energy of the graphs containing no isolated vertices are also given in terms of the first Zagreb index and the forgotten index. Moreover, bounds on the normalized Laplacian energy in terms of two particular cases of the general Randic index are obtained.

引用

页码：19 / 26

页数：8

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