{"title":"Atom-Bond Sum-Connectivity Index of Unicyclic Graphs and Some Applications","authors":"Akbar Ali, Ivan Gutman, Izudin Redˇzepovi´c","doi":"10.47443/ejm.2022.039","DOIUrl":null,"url":null,"abstract":"The atom-bond sum-connectivity ( ABS ) index is a recently introduced variant of three earlier much studied graph-based molecular descriptors: connectivity (Randi´c), atom-bond connectivity, and sum-connectivity indices. In this paper, the graphs with minimum, second-minimum, maximum, and second-maximum values of the ABS index are determined over the class of connected unicyclic graphs with a fixed order. Possible chemical applications of the ABS index are also investigated on particular sets of chemical graphs","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"14 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Electronic Journal of Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/ejm.2022.039","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
引用次数: 15
Abstract
The atom-bond sum-connectivity ( ABS ) index is a recently introduced variant of three earlier much studied graph-based molecular descriptors: connectivity (Randi´c), atom-bond connectivity, and sum-connectivity indices. In this paper, the graphs with minimum, second-minimum, maximum, and second-maximum values of the ABS index are determined over the class of connected unicyclic graphs with a fixed order. Possible chemical applications of the ABS index are also investigated on particular sets of chemical graphs
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