{"title":"Bottleneck Matching in the Plane","authors":"M. J. Katz, M. Sharir","doi":"10.48550/arXiv.2205.05887","DOIUrl":null,"url":null,"abstract":"We present an algorithm for computing a bottleneck matching in a set of $n=2\\ell$ points in the plane, which runs in $O(n^{\\omega/2}\\log n)$ deterministic time, where $\\omega\\approx 2.37$ is the exponent of matrix multiplication.","PeriodicalId":11245,"journal":{"name":"Discret. Comput. Geom.","volume":"87 1","pages":"101986"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discret. Comput. Geom.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arXiv.2205.05887","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
We present an algorithm for computing a bottleneck matching in a set of $n=2\ell$ points in the plane, which runs in $O(n^{\omega/2}\log n)$ deterministic time, where $\omega\approx 2.37$ is the exponent of matrix multiplication.