Title
Approximation algorithms for the unit disk cover problem in 2D and 3D.
Abstract
Given a set P of n points in the plane, we consider the problem of covering P with a minimum number of unit disks. This problem is known to be NP-hard. We present a simple 4-approximation algorithm for this problem which runs in O ( n log ź n ) -time. We also show how to extend this algorithm to other metrics, and to three dimensions.
Year
DOI
Venue
2017
10.1016/j.comgeo.2016.04.002
Comput. Geom.
Keywords
Field
DocType
Unit disk covering,Unit ball covering,Approximation algorithms
Discrete mathematics,Approximation algorithm,Combinatorics,Unit disk,Mathematics
Journal
Volume
Issue
ISSN
60
C
0925-7721
Citations 
PageRank 
References 
6
0.46
8
Authors
4
Name
Order
Citations
PageRank
Ahmad Biniaz14420.67
Paul Liu2236.59
Anil Maheshwari3869104.47
Michiel H. M. Smid455093.58