{"title":"树木的偏心谐波指数","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":48497,"journal":{"name":"AKCE International Journal of Graphs and Combinatorics","volume":"19 1","pages":"0"},"PeriodicalIF":1.0000,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":48497,\"journal\":{\"name\":\"AKCE International Journal of Graphs and Combinatorics\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AKCE International Journal of Graphs and Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/09728600.2023.2263039\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AKCE International Journal of Graphs and Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/09728600.2023.2263039","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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：
AKCE International Journal of Graphs and Combinatorics is devoted to publication of standard original research papers in Combinatorial Mathematics and related areas. The fields covered by the journal include: Graphs and hypergraphs, Network theory, Combinatorial optimization, Coding theory, Block designs, Combinatorial geometry, Matroid theory, Logic, Computing, Neural networks and any related topics. Each volume will consist of three issues to be published in the months of April, August and December every year. Contribution presented to the journal can be Full-length article, Review article, Short communication and about a conference. The journal will also publish proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standard of the journal.
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