• Title of article

    A simple greedy approximation algorithm for the unit disk cover problem

  • Author/Authors

    Imanparast, Mahdi Department of Mathematics and Computer Science - Amirkabir University of Technology, Tehran, Iran , Hashemi, Naser Department of Mathematics and Computer Science - Amirkabir University of Technology, Tehran, Iran

  • Pages
    9
  • From page
    47
  • To page
    55
  • Abstract
    Given a set 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 P. We present a new 4-approximation algorithm with running time O(n log n) for this problem. Our proposed algorithm uses a simple approach and is easy to understand and implement.
  • Keywords
    Computational geometry , Approximation algorithms , Unit disk cover problem , Facility location
  • Journal title
    AUT Journal of Mathematics and Computing
  • Serial Year
    2020
  • Record number

    2714514