{"title":"On the variance of the random sphere of influence graph","authors":"P. Hitczenko, S. Janson, J. Yukich","doi":"10.1002/(SICI)1098-2418(199903)14:2%3C139::AID-RSA2%3E3.0.CO;2-E","DOIUrl":null,"url":null,"abstract":"We show that the variance of the number of edges in the random sphere of influence graph built on n i.i sites which are uniformly distributed over the unit cube in R-d, grows linearly with n. This is then used to establish a central limit theorem for the","PeriodicalId":303496,"journal":{"name":"Random Struct. Algorithms","volume":"474 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Struct. Algorithms","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/(SICI)1098-2418(199903)14:2%3C139::AID-RSA2%3E3.0.CO;2-E","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
We show that the variance of the number of edges in the random sphere of influence graph built on n i.i sites which are uniformly distributed over the unit cube in R-d, grows linearly with n. This is then used to establish a central limit theorem for the
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