{"title":"Sparsest Cut Approximation Using Single Commodity Flows","authors":"K. A.","doi":"10.2139/ssrn.3305748","DOIUrl":null,"url":null,"abstract":"In this paper, we present an algorithm approximating the sparsest cut within a factor of O(log<sup> 2</sup> n) in Õ(m + n<sup>3/2</sup>) time introduced by Khandekar, Rao and Vazirani in. While we explain the theoretical background and prove the claimed approximation factor and runtime, we add new visualization to improve the understandibility.","PeriodicalId":365755,"journal":{"name":"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3305748","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we present an algorithm approximating the sparsest cut within a factor of O(log 2 n) in Õ(m + n3/2) time introduced by Khandekar, Rao and Vazirani in. While we explain the theoretical background and prove the claimed approximation factor and runtime, we add new visualization to improve the understandibility.