{"title":"半流模型中最大权值匹配的A (2+ε)-近似","authors":"A. Paz, Gregory Schwartzman","doi":"10.1145/3274668","DOIUrl":null,"url":null,"abstract":"We present a simple deterministic single-pass (2+ε)-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves on the currently best known approximation ratio of (4+ε). Our algorithm uses O(nlog2 n) bits of space for constant values of ε. It relies on a variation of the local-ratio theorem, which may be of use for other algorithms in the semi-streaming model as well.","PeriodicalId":154047,"journal":{"name":"ACM Transactions on Algorithms (TALG)","volume":"293 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A (2+ε)-Approximation for Maximum Weight Matching in the Semi-streaming Model\",\"authors\":\"A. Paz, Gregory Schwartzman\",\"doi\":\"10.1145/3274668\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a simple deterministic single-pass (2+ε)-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves on the currently best known approximation ratio of (4+ε). Our algorithm uses O(nlog2 n) bits of space for constant values of ε. It relies on a variation of the local-ratio theorem, which may be of use for other algorithms in the semi-streaming model as well.\",\"PeriodicalId\":154047,\"journal\":{\"name\":\"ACM Transactions on Algorithms (TALG)\",\"volume\":\"293 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACM Transactions on Algorithms (TALG)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3274668\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Transactions on Algorithms (TALG)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3274668","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A (2+ε)-Approximation for Maximum Weight Matching in the Semi-streaming Model
We present a simple deterministic single-pass (2+ε)-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves on the currently best known approximation ratio of (4+ε). Our algorithm uses O(nlog2 n) bits of space for constant values of ε. It relies on a variation of the local-ratio theorem, which may be of use for other algorithms in the semi-streaming model as well.