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» Approximation of the Quadratic Set Covering problem
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COMPGEOM
2009
ACM
14 years 1 months ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...
STOC
2010
ACM
245views Algorithms» more  STOC 2010»
14 years 7 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
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
FCT
2007
Springer
14 years 1 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...
ICALP
2004
Springer
14 years 23 days ago
The Minimum-Entropy Set Cover Problem
We study graph orientations that minimize the entropy of the in-degree sequence. The problem of finding such an orientation is an interesting special case of the minimum entropy ...
Eran Halperin, Richard M. Karp