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COCOON
2006
Springer

A Polynomial-Time Approximation Algorithm for a Geometric Dispersion Problem

14 years 2 months ago
A Polynomial-Time Approximation Algorithm for a Geometric Dispersion Problem
We consider the problem of placing a set of disks in a region containing obstacles such that no two disks intersect. We are given a bounding polygon P and a set R of possibly intersecting unit disks whose centers are in P. The task is to find a set B of m disks of maximum radius such that no disk in B intersects a disk in B R, where m is the maximum number of unit disks that can be packed. Baur and Fekete showed that the problem cannot be solved efficiently for radii that exceed 13/14, unless P = NP. In this paper we present a 2/3approximation algorithm.
Marc Benkert, Joachim Gudmundsson, Christian Knaue
Added 20 Aug 2010
Updated 20 Aug 2010
Type Conference
Year 2006
Where COCOON
Authors Marc Benkert, Joachim Gudmundsson, Christian Knauer, Esther Moet, René van Oostrum, Alexander Wolff
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