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FCT
2007
Springer
14 years 4 months ago
Analysis of Approximation Algorithms for k-Set Cover Using Factor-Revealing Linear Programs
We present new combinatorial approximation algorithms for k-set cover. Previous approaches are based on extending the greedy algorithm by efficiently handling small sets. The new a...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
COMPGEOM
2006
ACM
14 years 4 months ago
How slow is the k-means method?
The k-means method is an old but popular clustering algorithm known for its observed speed and its simplicity. Until recently, however, no meaningful theoretical bounds were known...
David Arthur, Sergei Vassilvitskii
WAOA
2004
Springer
142views Algorithms» more  WAOA 2004»
14 years 3 months ago
This Side Up!
Abstract. We consider two- and three-dimensional bin packing problems where 90◦ rotations are allowed. We improve all known asymptotic performance bounds for these problems. In p...
Leah Epstein, Rob van Stee
MFCS
2001
Springer
14 years 2 months ago
On the Approximability of the Steiner Tree Problem
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Martin Thimm
GLVLSI
1996
IEEE
126views VLSI» more  GLVLSI 1996»
14 years 2 months ago
An Accurate Interconnection Length Estimation for Computer Logic
Important layout properties of electronic designs include space requirements and interconnection lengths. A reliable interconnection length estimation is essential for improving p...
Dirk Stroobandt, Herwig Van Marck, Jan Van Campenh...