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» Algorithms for Implicit Hitting Set Problems
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COMPGEOM
2009
ACM
14 years 3 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
DCG
2010
137views more  DCG 2010»
13 years 8 months ago
Improved Results on Geometric Hitting Set Problems
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
CORR
2008
Springer
151views Education» more  CORR 2008»
13 years 8 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
COMPGEOM
2009
ACM
14 years 3 months ago
Near-linear approximation algorithms for geometric hitting sets
Given a set system (X, R), the hitting set problem is to find a smallest-cardinality subset H ⊆ X, with the property that each range R ∈ R has a non-empty intersection with H...
Pankaj K. Agarwal, Esther Ezra, Micha Sharir
APPROX
2005
Springer
79views Algorithms» more  APPROX 2005»
14 years 2 months ago
Reconstructive Dispersers and Hitting Set Generators
Abstract. We give a generic construction of an optimal hitting set generator (HSG) from any good “reconstructive” disperser. Past constructions of optimal HSGs have been based ...
Christopher Umans