Coulson-type integral formulas for the general energy of a vertex

Lu Qiao; Shenggui Zhang; Jing Li; Nan Gao

doi:10.1016/j.jmaa.2022.126565

Coulson-type integral formulas for the general energy of a vertex

Lu Qiao
, Shenggui Zhang
, Jing Li
, Nan Gao

数学与统计学院

Shaanxi Normal University
Northwestern Polytechnical University Xian
Xi'an Shiyou University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The energy of a graph is defined as the sum of the absolute values of its eigenvalues. In 1940 Coulson obtained an important integral formula which makes it possible to calculate the energy of a graph without knowing its spectrum. Recently Arizmendi and Juárez-Romero proposed the concept of vertex energy and Arizmendi et al. further obtained a Coulson-type integral formula for the vertex energy of a graph. In this paper, we will introduce the concept of the general energy of a vertex, and give some Coulson-type integral formulas for the general energy of a vertex.

源语言	英语
文章编号	126565
期刊	Journal of Mathematical Analysis and Applications
卷	517
期	1
DOI	https://doi.org/10.1016/j.jmaa.2022.126565
出版状态	已出版 - 1 1月 2022

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abstract = "The energy of a graph is defined as the sum of the absolute values of its eigenvalues. In 1940 Coulson obtained an important integral formula which makes it possible to calculate the energy of a graph without knowing its spectrum. Recently Arizmendi and Ju{\'a}rez-Romero proposed the concept of vertex energy and Arizmendi et al. further obtained a Coulson-type integral formula for the vertex energy of a graph. In this paper, we will introduce the concept of the general energy of a vertex, and give some Coulson-type integral formulas for the general energy of a vertex.",

keywords = "Coulson-type integral formulas, General vertex energy, Graph energy",

author = "Lu Qiao and Shenggui Zhang and Jing Li and Nan Gao",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

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T1 - Coulson-type integral formulas for the general energy of a vertex

AU - Qiao, Lu

AU - Zhang, Shenggui

AU - Li, Jing

AU - Gao, Nan

PY - 2022/1/1

Y1 - 2022/1/1

N2 - The energy of a graph is defined as the sum of the absolute values of its eigenvalues. In 1940 Coulson obtained an important integral formula which makes it possible to calculate the energy of a graph without knowing its spectrum. Recently Arizmendi and Juárez-Romero proposed the concept of vertex energy and Arizmendi et al. further obtained a Coulson-type integral formula for the vertex energy of a graph. In this paper, we will introduce the concept of the general energy of a vertex, and give some Coulson-type integral formulas for the general energy of a vertex.

AB - The energy of a graph is defined as the sum of the absolute values of its eigenvalues. In 1940 Coulson obtained an important integral formula which makes it possible to calculate the energy of a graph without knowing its spectrum. Recently Arizmendi and Juárez-Romero proposed the concept of vertex energy and Arizmendi et al. further obtained a Coulson-type integral formula for the vertex energy of a graph. In this paper, we will introduce the concept of the general energy of a vertex, and give some Coulson-type integral formulas for the general energy of a vertex.

KW - Coulson-type integral formulas

KW - General vertex energy

KW - Graph energy

UR - https://www.scopus.com/pages/publications/85135794228

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DO - 10.1016/j.jmaa.2022.126565

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SN - 0022-247X

VL - 517

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 126565

ER -

Coulson-type integral formulas for the general energy of a vertex

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