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...
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...
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...
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...
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...