{"title":"The asymptotic distribution of long cycles in random regular graphs","authors":"H. Garmo","doi":"10.1002/(SICI)1098-2418(199908)15:1%3C43::AID-RSA3%3E3.0.CO;2-S","DOIUrl":null,"url":null,"abstract":"The asymptotic distribution of the number of cycles of length l in a random r-regular graph is determined. The length of the cycles is defined as a function of the number of vertices n, thus l = l(n), and the length satisfies l(n) --> infinity as n --> in","PeriodicalId":303496,"journal":{"name":"Random Struct. Algorithms","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Struct. Algorithms","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/(SICI)1098-2418(199908)15:1%3C43::AID-RSA3%3E3.0.CO;2-S","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 19
Abstract
The asymptotic distribution of the number of cycles of length l in a random r-regular graph is determined. The length of the cycles is defined as a function of the number of vertices n, thus l = l(n), and the length satisfies l(n) --> infinity as n --> in
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