{"title":"随机蜘蛛树的拓扑索引","authors":"Saylé Sigarreta, Saylí Sigarreta, H. Cruz-Suárez","doi":"10.1515/mgmc-2022-0025","DOIUrl":null,"url":null,"abstract":"Abstract In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.","PeriodicalId":48891,"journal":{"name":"Main Group Metal Chemistry","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Topological indices for random spider trees\",\"authors\":\"Saylé Sigarreta, Saylí Sigarreta, H. Cruz-Suárez\",\"doi\":\"10.1515/mgmc-2022-0025\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.\",\"PeriodicalId\":48891,\"journal\":{\"name\":\"Main Group Metal Chemistry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Main Group Metal Chemistry\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://doi.org/10.1515/mgmc-2022-0025\",\"RegionNum\":3,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, INORGANIC & NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Main Group Metal Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1515/mgmc-2022-0025","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, INORGANIC & NUCLEAR","Score":null,"Total":0}
Abstract In this study, we characterize the structure and some topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalized Zagreb index, and other indices associated with these. We obtain the exact and asymptotic distributions of the number of leaves via probabilistic methods. Moreover, we relate this model to the class of RSTs that evolves in a preferential attachment manner.
期刊介绍：
This journal is committed to the publication of short communications, original research, and review articles within the field of main group metal and semi-metal chemistry, Main Group Metal Chemistry is an open-access, peer-reviewed journal that publishes in ongoing way. Papers addressing the theoretical, spectroscopic, mechanistic and synthetic aspects of inorganic, coordination and organometallic main group metal and semi-metal compounds, including zinc, cadmium and mercury are welcome. The journal also publishes studies relating to environmental aspects of these metals, their toxicology, release pathways and fate. Articles on the applications of main group metal chemistry, including in the fields of polymer chemistry, agriculture, electronics and catalysis, are also accepted.
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