A faster implementation of the Goemans-Williamson clustering algorithm

Richard Cole, Ramesh Hariharan, Moshe Lewenstein, Ely Porat

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We give an implementation of the Goemans-Williamson clustering procedure which is at the core of several approximation algorithms including those for Generalized Steiner Trees, Prize Collecting Travelling Salesman, 2-Edge Connected Subgraph etc. On a graph with n nodes and m edge, our implementation gives &Ogr; (k(n + m) log 2 n) time approximation algorithms for all these problems at the expense of a slight additive degradation of 1/n k in the approximation factor, for any constant k. Copyright © 2009 ACM, Inc.
Original languageEnglish
JournalProceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
StatePublished - 1 Dec 2001

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