{"title":"b匹配的大规模并行算法","authors":"M. Ghaffari, C. Grunau, Slobodan Mitrovic","doi":"10.1145/3490148.3538589","DOIUrl":null,"url":null,"abstract":"This paper presents an O(log log đ) round massively parallel algorithm for 1 + ε approximation of maximum weighted b-matchings, using near-linear memory per machine. Here đ denotes the average degree in the graph and ε is an arbitrarily small positive constant. Recall that b-matching is the natural and well-studied generalization of the matching problem where different vertices are allowed to have different numbers of incident edges in the matching.","PeriodicalId":112865,"journal":{"name":"Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Massively Parallel Algorithms for b-Matching\",\"authors\":\"M. Ghaffari, C. Grunau, Slobodan Mitrovic\",\"doi\":\"10.1145/3490148.3538589\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an O(log log đ) round massively parallel algorithm for 1 + ε approximation of maximum weighted b-matchings, using near-linear memory per machine. Here đ denotes the average degree in the graph and ε is an arbitrarily small positive constant. Recall that b-matching is the natural and well-studied generalization of the matching problem where different vertices are allowed to have different numbers of incident edges in the matching.\",\"PeriodicalId\":112865,\"journal\":{\"name\":\"Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 34th ACM Symposium on Parallelism in Algorithms and Architectures\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3490148.3538589\",\"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 34th ACM Symposium on Parallelism in Algorithms and Architectures","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3490148.3538589","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper presents an O(log log đ) round massively parallel algorithm for 1 + ε approximation of maximum weighted b-matchings, using near-linear memory per machine. Here đ denotes the average degree in the graph and ε is an arbitrarily small positive constant. Recall that b-matching is the natural and well-studied generalization of the matching problem where different vertices are allowed to have different numbers of incident edges in the matching.
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