The discrete and mixed minimax 2-center problem

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Let P be a set of n points in the plane, the discrete minimax 2-center problem (DMM2CP) is that of finding two disks centered at {p1,p2}∈P that minimize the maximum of two terms, namely, the Euclidean distance between two centers and the distance of any other point to the closer center. The mixed minimax 2-center problem (MMM2CP) is when one of the two centers is not in P. We present algorithms for solving the DMM2CP and MMM2CP. The time complexity of solving DMM2CP and MMM2CP are O(n2log n) and O(n2log2n) respectively.

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 9th International Conference, COCOA 2015, Proceedings
EditorsDonghyun Kim, Weili Wu, Ding-Zhu Du, Zaixin Lu, Wei Li
PublisherSpringer Verlag
Pages101-109
Number of pages9
ISBN (Print)9783319266251
DOIs
StatePublished - 2015
Event9th International Conference on Combinatorial Optimization and Applications, COCOA 2015 - Houston, United States
Duration: 18 Dec 201520 Dec 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9486
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference9th International Conference on Combinatorial Optimization and Applications, COCOA 2015
Country/TerritoryUnited States
CityHouston
Period18/12/1520/12/15

Keywords

  • 2-center problem
  • Computational geometry
  • Farthest point Voronoi diagram

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