（n,m）-图的指数增广萨格勒布指数

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-06-26 DOI:10.1016/j.dam.2025.06.009

Chunlei Xu , Lkhagva Buyantogtokh , Shiikhar Dorjsembe , Dechinpuntsag Bolormaa , Suyalabateer Bao

引用次数: 0

摘要

在图论和化学图论中，拓扑指标在表征分子的结构性质方面起着至关重要的作用。研究了一类(n,m)-图中与指数增广萨格勒布指数（EAZ）有关的极值问题。将图G的EAZ指标定义为EAZ(G)=∑uv∈E(G)edu+dv−2dudv3，其中du表示顶点u的度。利用不等式技术和图运算构造，深入分析了该指标的极值问题。精确地确定了该指标的最大值，并详细描述了达到这些极值的图形的相应结构特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential augmented Zagreb index of (n,m)-graphs

In the fields of graph theory and chemical graph theory, topological indices play a crucial role in characterizing the structural properties of molecules. This paper focuses on the extremum problems related to the exponential augmented Zagreb index (EAZ) within the class of

(n, m)

-graphs. The EAZ index for a graph

G

is defined as

E A Z (G) = \sum_{u v \in E (G)} e^{{(\frac{d_{u} + d_{v} - 2}{d_{u} d_{v}})}^{3}},

where

d_{u}

represents the degree of a vertex

u

. By employing inequality techniques and graph operation constructions, the extremum problems of this index are thoroughly analyzed. The maximum values of this index are precisely determined, and the corresponding structural characteristics of the graphs that achieve these extreme values are described in detail.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.