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WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 3 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
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
PAMI
2010
119views more  PAMI 2010»
14 years 8 months ago
Efficient Multilevel Eigensolvers with Applications to Data Analysis Tasks
—Multigrid solvers proved very efficient for solving massive systems of equations in various fields. These solvers are based on iterative relaxation schemes together with the app...
Dan Kushnir, Meirav Galun, Achi Brandt
FOCS
2007
IEEE
15 years 4 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
COCOON
2005
Springer
15 years 3 months ago
Complexity and Approximation of Satisfactory Partition Problems
The Satisfactory Partition problem consists of deciding if a given graph has a partition of its vertex set into two nonempty parts such that each vertex has at least as many neighb...
Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten