{"title":"The modified first Zagreb connection index and the trees with given order and size of matchings","authors":"Sadia Noureen, B. Ahmad","doi":"10.5937/spsunp2102085n","DOIUrl":null,"url":null,"abstract":"A subset of the edge set of a graph G is called a matching in G if its elements are not adjacent in G. A matching in G with the maximum cardinality among all the matchings in G is called a maximum matching. The matching number in the graph G is the number of elements in the maximum matching of G. This present paper is devoted to the investigation of the trees, which maximize the modified first Zagreb connection index among the trees with a given order and matching number.","PeriodicalId":394770,"journal":{"name":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5937/spsunp2102085n","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A subset of the edge set of a graph G is called a matching in G if its elements are not adjacent in G. A matching in G with the maximum cardinality among all the matchings in G is called a maximum matching. The matching number in the graph G is the number of elements in the maximum matching of G. This present paper is devoted to the investigation of the trees, which maximize the modified first Zagreb connection index among the trees with a given order and matching number.
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