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TALG
2010
158views more  TALG 2010»
8 years 6 months ago
Clustering for metric and nonmetric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P of size n, our goal is to find a set C of size k such t...
Marcel R. Ackermann, Johannes Blömer, Christi...
JCSS
2002
199views more  JCSS 2002»
8 years 11 months ago
A Constant-Factor Approximation Algorithm for the k-Median Problem
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
Moses Charikar, Sudipto Guha, Éva Tardos, D...
ESA
2010
Springer
207views Algorithms» more  ESA 2010»
9 years 15 days ago
Budgeted Red-Blue Median and Its Generalizations
In a Content Distribution Network application, we have a set of servers and a set of clients to be connected to the servers. Often there are a few server types and a hard budget co...
MohammadTaghi Hajiaghayi, Rohit Khandekar, Guy Kor...
SODA
2008
ACM
200views Algorithms» more  SODA 2008»
9 years 25 days ago
Clustering for metric and non-metric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P, our goal is to find a set C of size k such that the s...
Marcel R. Ackermann, Johannes Blömer, Christi...
SODA
2008
ACM
82views Algorithms» more  SODA 2008»
9 years 25 days ago
A plant location guide for the unsure
This paper studies an extension of the k-median problem where we are given a metric space (V, d) and not just one but m client sets {Si V }m i=1, and the goal is to open k facili...
Barbara M. Anthony, Vineet Goyal, Anupam Gupta, Vi...
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
9 years 3 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao
MFCS
2001
Springer
9 years 3 months ago
The k-Median Problem for Directed Trees
Abstract Marek Chrobak1 , Lawrence L. Larmore2 , and Wojciech Rytter3,4 1 Department of Computer Science, University of California Riverside, CA 92521 2 Department of Computer Scie...
Marek Chrobak, Lawrence L. Larmore, Wojciech Rytte...
COCOON
2005
Springer
9 years 5 months ago
The Reverse Greedy Algorithm for the Metric K-Median Problem
The Reverse Greedy algorithm (RGREEDY) for the k-median problem works as follows. It starts by placing facilities on all nodes. At each step, it removes a facility to minimize the...
Marek Chrobak, Claire Kenyon, Neal E. Young
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