{"title":"The eccentric harmonic index of trees","authors":"Yueping Su, Lieying Liao, Shaoqiang Liu","doi":"10.1080/09728600.2023.2263039","DOIUrl":null,"url":null,"abstract":"Topological indices play an important role in mathematical chemistry, particularly in studies of quantitative structure property and quantitative structure activity relationships. The eccentric harmonic index of G is defined as He(G)=∑uv∈E(G)2e(u)+e(v), where uv is an edge of G, e(u) is the eccentricity of the vertex u in G. In this paper, we will determine the maximum and minmum eccentric harmonic index of trees in terms of graph parameters such as pendant number and matching number, and characterize corresponding extremal graphs.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/09728600.2023.2263039","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Topological indices play an important role in mathematical chemistry, particularly in studies of quantitative structure property and quantitative structure activity relationships. The eccentric harmonic index of G is defined as He(G)=∑uv∈E(G)2e(u)+e(v), where uv is an edge of G, e(u) is the eccentricity of the vertex u in G. In this paper, we will determine the maximum and minmum eccentric harmonic index of trees in terms of graph parameters such as pendant number and matching number, and characterize corresponding extremal graphs.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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