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JACM
1998
88views more  JACM 1998»
13 years 7 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige
STOC
2010
ACM
245views Algorithms» more  STOC 2010»
14 years 13 days ago
Weighted Geometric Set Cover via Quasi-Uniform Sampling
There has been much progress on geometric set cover problems, but most known techniques only apply to the unweighted setting. For the weighted setting, very few results are known ...
Kasturi Varadarajan
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
13 years 11 months ago
Tight Results on Minimum Entropy Set Cover
In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
CEC
2005
IEEE
14 years 1 months ago
Adaptive cluster covering and evolutionary approach: comparison, differences and similarities
In case the objective function to be minimized is not known analytically and no assumption can be made about the single extremum, global optimization (GO) methods must be used. Pap...
Dimitri P. Solomatine
FOCS
2008
IEEE
13 years 8 months ago
Set Covering with our Eyes Closed
Given a universe U of n elements and a weighted collection S of m subsets of U, the universal set cover problem is to a-priori map each element u ∈ U to a set S(u) ∈ S contain...
Fabrizio Grandoni, Anupam Gupta, Stefano Leonardi,...