{"title":"单环图的原子键和连通性指标及其应用","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":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"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\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"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}","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}
Atom-Bond Sum-Connectivity Index of Unicyclic Graphs and Some Applications
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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