A faster implementation of the Goemans-Williamson clustering algorithm

Cole, Richard ; Hariharan, Ramesh ; Lewenstein, Moshe ; Porat, Ely (2001) A faster implementation of the Goemans-Williamson clustering algorithm In: SODA '01 Proceedings of the Twelfth Annual ACM-SIAM Symposium on Discrete Algorithms, January 07-09, 2001, Washington, D.C., USA.

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Official URL: http://dl.acm.org/citation.cfm?id=365411.365414

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 Ο (k(n + m) log2 n) time approximation algorithms for all these problems at the expense of a slight additive degradation of 1/nk in the approximation factor, for any constant k.

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