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JCO
2010
182views more  JCO 2010»
14 years 8 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
IPL
2002
118views more  IPL 2002»
14 years 9 months ago
Differential approximation results for the traveling salesman and related problems
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
Jérôme Monnot
JMLR
2010
164views more  JMLR 2010»
14 years 4 months ago
Solving the Uncapacitated Facility Location Problem Using Message Passing Algorithms
The Uncapacitated Facility Location Problem (UFLP) is one of the most widely studied discrete location problems, whose applications arise in a variety of settings. We tackle the U...
Nevena Lazic, Brendan J. Frey, Parham Aarabi
MLDM
2010
Springer
14 years 4 months ago
Fast Algorithms for Constant Approximation k-Means Clustering
In this paper we study the k-means clustering problem. It is well-known that the general version of this problem is NP-hard. Numerous approximation algorithms have been proposed fo...
Mingjun Song, Sanguthevar Rajasekaran