{"title":"使用单一商品流的最稀疏切割近似","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":"{\"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}","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}
Sparsest Cut Approximation Using Single Commodity Flows
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.