$$\varepsilon $$ ε -Mnets: Hitting Geometric Set Systems with Subsets
نویسندگان
چکیده
منابع مشابه
Geometric Hitting Set and Set Cover Problem with Half-Strips
We show that hitting set and set cover problems with half-strips oriented in two opposite directions are NPcomplete.
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Over the past several decades there has been steady progress towards the goal of polynomial-time approximation schemes (PTAS) for fundamental geometric combinatorial optimization problems. A foremost example is the geometric hitting set problem: given a set P of points and a set D of geometric objects, compute the minimum-sized subset of P that hits all objects in D. For the case where D is a s...
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Suppose we are given a finite set of points P in R and a collection of polytopes T that are all translates of the same polytope T . We consider two problems in this paper. The first is the set cover problem where we want to select a minimal number of polytopes from the collection T such that their union covers all input points P . The second problem that we consider is finding a hitting set for...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2016
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-016-9845-8