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» Approximation of the Quadratic Set Covering problem
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JCO
2010
182views more  JCO 2010»
13 years 5 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
COCOON
2005
Springer
14 years 28 days ago
Interference in Cellular Networks: The Minimum Membership Set Cover Problem
Abstract. The infrastructure for mobile distributed tasks is often formed by cellular networks. One of the major issues in such networks is interference. In this paper we tackle in...
Fabian Kuhn, Pascal von Rickenbach, Roger Wattenho...
AAIM
2007
Springer
141views Algorithms» more  AAIM 2007»
14 years 1 months ago
An Almost Linear Time 2.8334-Approximation Algorithm for the Disc Covering Problem
The disc covering problem asks to cover a set of points on the plane with a minimum number of fix-sized discs. We develop an O(n(log n)2 (log log n)2 ) deterministic time 2.8334-a...
Bin Fu, Zhixiang Chen, Mahdi Abdelguerfi
ICALP
2005
Springer
14 years 27 days ago
A Better Approximation Ratio for the Vertex Cover Problem
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
George Karakostas
CORR
2008
Springer
151views Education» more  CORR 2008»
13 years 7 months ago
Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
Sören Laue