{"title":"修改后的第一个萨格勒布连接索引和给定匹配顺序和大小的树","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":"{\"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}","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}
The modified first Zagreb connection index and the trees with given order and size of matchings
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.