License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2021.41
URN: urn:nbn:de:0030-drops-154740
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15474/
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Eskandari, Marzieh ; Khare, Bhavika ; Kumar, Nirman

Separated Red Blue Center Clustering

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LIPIcs-ISAAC-2021-41.pdf (0.8 MB)


Abstract

We study a generalization of k-center clustering, first introduced by Kavand et. al., where instead of one set of centers, we have two types of centers, p red and q blue, and where each red center is at least α distant from each blue center. The goal is to minimize the covering radius. We provide an approximation algorithm for this problem, and a polynomial-time algorithm for the constrained problem, where all the centers must lie on a line ?.

BibTeX - Entry

@InProceedings{eskandari_et_al:LIPIcs.ISAAC.2021.41,
  author =	{Eskandari, Marzieh and Khare, Bhavika and Kumar, Nirman},
  title =	{{Separated Red Blue Center Clustering}},
  booktitle =	{32nd International Symposium on Algorithms and Computation (ISAAC 2021)},
  pages =	{41:1--41:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-214-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{212},
  editor =	{Ahn, Hee-Kap and Sadakane, Kunihiko},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/15474},
  URN =		{urn:nbn:de:0030-drops-154740},
  doi =		{10.4230/LIPIcs.ISAAC.2021.41},
  annote =	{Keywords: Algorithms, Facility Location, Clustering, Approximation Algorithms, Computational Geometry}
}

Keywords: Algorithms, Facility Location, Clustering, Approximation Algorithms, Computational Geometry
Collection: 32nd International Symposium on Algorithms and Computation (ISAAC 2021)
Issue Date: 2021
Date of publication: 30.11.2021


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