{"title":"Minimal trees with respect to exponential Zagreb indices","authors":"Nasrin Dehgardi , Mahdieh Azari","doi":"10.1016/j.dam.2024.11.007","DOIUrl":null,"url":null,"abstract":"<div><div>The concept of the exponential of vertex-degree-based topological indices was raised by Rada (2019) with the aim of studying the discrimination ability of this kind of invariants. In this paper, the minimum values of the exponential of the second Zagreb index and two variants of the first Zagreb index among all <span><math><mi>n</mi></math></span>-vertex trees with maximum degree <span><math><mi>Δ</mi></math></span> are characterized and the corresponding minimal trees are introduced. In addition, results are extended to the class of connected graphs with <span><math><mi>n</mi></math></span> vertices and maximum degree <span><math><mi>Δ</mi></math></span>.</div></div>","PeriodicalId":50573,"journal":{"name":"Discrete Applied Mathematics","volume":"362 ","pages":"Pages 11-17"},"PeriodicalIF":1.0000,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0166218X24004773","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The concept of the exponential of vertex-degree-based topological indices was raised by Rada (2019) with the aim of studying the discrimination ability of this kind of invariants. In this paper, the minimum values of the exponential of the second Zagreb index and two variants of the first Zagreb index among all -vertex trees with maximum degree are characterized and the corresponding minimal trees are introduced. In addition, results are extended to the class of connected graphs with vertices and maximum degree .
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.
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