{"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}
引用次数: 2
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.
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