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» On the complexity of approximating k-set packing
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FCT
2007
Springer
13 years 10 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...
CC
2006
Springer
123views System Software» more  CC 2006»
13 years 4 months ago
On the complexity of approximating k-set packing
Given a k-uniform hypergraph, the Maximum k-Set Packing problem is to find the maximum disjoint set of edges. We prove that this problem cannot be efficiently approximated to with...
Elad Hazan, Shmuel Safra, Oded Schwartz
AAIM
2006
Springer
75views Algorithms» more  AAIM 2006»
13 years 10 months ago
Subsequence Packing: Complexity, Approximation, and Application
We study the subsequence packing problem: given a string T and a collection of strings {Si}, find disjoint subsequences {Ti} of T with maximum total length such that each Ti is a ...
Minghui Jiang
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
13 years 10 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
13 years 10 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke