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» Approximation schemes for clustering problems
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STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 5 months ago
Approximation schemes for clustering problems
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
STOC
2009
ACM
172views Algorithms» more  STOC 2009»
14 years 5 months ago
Linear time approximation schemes for the Gale-Berlekamp game and related minimization problems
We design a linear time approximation scheme for the GaleBerlekamp Switching Game and generalize it to a wider class of dense fragile minimization problems including the Nearest C...
Marek Karpinski, Warren Schudy
FOCS
1999
IEEE
13 years 9 months ago
A Sublinear Time Approximation Scheme for Clustering in Metric Spaces
The metric 2-clustering problem is de ned as follows: given a metric (X;d), partition X into two sets S1 and S2 in order to minimize the value of X i X fu;vg Si d(u;v) In this pap...
Piotr Indyk
APPROX
2004
Springer
119views Algorithms» more  APPROX 2004»
13 years 10 months ago
Approximation Schemes for Broadcasting in Heterogenous Networks
We study the problem of minimizing the broadcast time for a set of processors in a cluster, where processor has transmission time , which is the time taken to send a message to any...
Samir Khuller, Yoo Ah Kim, Gerhard J. Woeginger
ICALP
2004
Springer
13 years 10 months ago
Sublinear-Time Approximation for Clustering Via Random Sampling
Abstract. In this paper we present a novel analysis of a random sampling approach for three clustering problems in metric spaces: k-median, min-sum kclustering, and balanced k-medi...
Artur Czumaj, Christian Sohler