{"title":"网络流与广义路径压缩","authors":"Z. Galil, A. Naamad","doi":"10.1145/800135.804394","DOIUrl":null,"url":null,"abstract":"An O(EVlog2V) algorithm for finding the maximal flow in networks is described. It is asymptotically better than the other known algorithms if E = O(V2-ε) for some ε>0. The analysis of the running time exploits the discovery of a phenomenon similar to (but more general than) path compression, although the union find algorithm is not used. The time bound is shown to be tight in terms of V and E by exhibiting a family of networks that require Ω(EVlog2V) time.++","PeriodicalId":176545,"journal":{"name":"Proceedings of the eleventh annual ACM symposium on Theory of computing","volume":"59 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1979-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":"{\"title\":\"Network flow and generalized path compression\",\"authors\":\"Z. Galil, A. Naamad\",\"doi\":\"10.1145/800135.804394\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An O(EVlog2V) algorithm for finding the maximal flow in networks is described. It is asymptotically better than the other known algorithms if E = O(V2-ε) for some ε>0. The analysis of the running time exploits the discovery of a phenomenon similar to (but more general than) path compression, although the union find algorithm is not used. The time bound is shown to be tight in terms of V and E by exhibiting a family of networks that require Ω(EVlog2V) time.++\",\"PeriodicalId\":176545,\"journal\":{\"name\":\"Proceedings of the eleventh annual ACM symposium on Theory of computing\",\"volume\":\"59 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1979-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"28\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the eleventh annual ACM symposium on Theory of computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/800135.804394\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the eleventh annual ACM symposium on Theory of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800135.804394","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An O(EVlog2V) algorithm for finding the maximal flow in networks is described. It is asymptotically better than the other known algorithms if E = O(V2-ε) for some ε>0. The analysis of the running time exploits the discovery of a phenomenon similar to (but more general than) path compression, although the union find algorithm is not used. The time bound is shown to be tight in terms of V and E by exhibiting a family of networks that require Ω(EVlog2V) time.++
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