A simple greedy approximation algorithm for the unit disk cover problem

Given a set $\mathcal P$ of $n$ points in the plane, the unit disk cover problem, which is known as an NP-hard problem, seeks to find the minimum number of unit disks that can cover all points of $\mathcal P$. We present a new $4$-approximation algorithm with running time $O(n \log n)$ for this prob...

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Bibliographic Details
Main Authors: Mahdi Imanparast, Seyed Naser Hashemi
Format: Article
Language:English
Published: Amirkabir University of Technology 2020-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_3044_69fd7125903ed84f45ff4a2b2a419779.pdf