{"title":"The Distance Between Randomly Constructed Genomes","authors":"W. Xu","doi":"10.1142/9781860947995_0025","DOIUrl":null,"url":null,"abstract":"In this paper, we study the exact probability distribution of the number of cycles c in the breakpoint graph of two random genomes with n genes or markers and 1 and 2 linear chromosomes, respectively. The genomic distance d between the two genomes is d = n c. In the limit we find that the expectation of d is n 2 1 2 2 1+2 2 1 1 2 ln","PeriodicalId":74513,"journal":{"name":"Proceedings of the ... Asia-Pacific bioinformatics conference","volume":"20 1","pages":"227-236"},"PeriodicalIF":0.0000,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the ... Asia-Pacific bioinformatics conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9781860947995_0025","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, we study the exact probability distribution of the number of cycles c in the breakpoint graph of two random genomes with n genes or markers and 1 and 2 linear chromosomes, respectively. The genomic distance d between the two genomes is d = n c. In the limit we find that the expectation of d is n 2 1 2 2 1+2 2 1 1 2 ln
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