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» Approximation Algorithms for Unit Disk Graphs
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COCOON
2006
Springer
13 years 9 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 inte...
Marc Benkert, Joachim Gudmundsson, Christian Knaue...
IPL
2007
81views more  IPL 2007»
13 years 5 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
ISAAC
2009
Springer
116views Algorithms» more  ISAAC 2009»
13 years 12 months ago
Practical Discrete Unit Disk Cover Using an Exact Line-Separable Algorithm
Given m unit disks and n points in the plane, the discrete unit disk cover problem is to select a minimum subset of the disks to cover the points. This problem is NP-hard [11] and ...
Francisco Claude, Reza Dorrigiv, Stephane Durocher...
CCCG
2006
13 years 6 months ago
An Improved Approximation Factor For The Unit Disk Covering Problem
We present a polynomial time algorithm for the unit disk covering problem with an approximation factor 72, and show that this is the best possible approximation factor based on th...
Sada Narayanappa, Petr Vojtechovský
CCCG
2008
13 years 6 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...