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» Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
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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
DCG
2010
137views more  DCG 2010»
13 years 7 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
COMPGEOM
2009
ACM
14 years 1 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
ESA
2009
Springer
115views Algorithms» more  ESA 2009»
14 years 2 months ago
Output-Sensitive Algorithms for Enumerating Minimal Transversals for Some Geometric Hypergraphs
We give a general framework for the problem of finding all minimal hitting sets of a family of objects in Rd by another. We apply this framework to the following problems: (i) hit...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 9 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh