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COMPGEOM
2009
ACM
13 years 11 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
DCG
2010
137views more  DCG 2010»
13 years 4 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 4 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
13 years 11 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
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
13 years 10 months ago
Near-Optimal Pricing in Near-Linear Time
We present efficient approximation algorithms for a number of problems that call for computing the prices that maximize the revenue of the seller on a set of items. Algorithms for ...
Jason D. Hartline, Vladlen Koltun