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.SoCG.2022.47
URN: urn:nbn:de:0030-drops-160555
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16055/
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Har-Peled, Sariel ; Yang, Everett

Approximation Algorithms for Maximum Matchings in Geometric Intersection Graphs

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LIPIcs-SoCG-2022-47.pdf (0.8 MB)

Abstract

We present a (1-ε)-approximation algorithms for maximum cardinality matchings in disk intersection graphs - all with near linear running time. We also present an estimation algorithm that returns (1±ε)-approximation to the size of such matchings - this algorithm runs in linear time for unit disks, and O(n log n) for general disks (as long as the density is relatively small).

BibTeX - Entry

@InProceedings{harpeled_et_al:LIPIcs.SoCG.2022.47,
  author =	{Har-Peled, Sariel and Yang, Everett},
  title =	{{Approximation Algorithms for Maximum Matchings in Geometric Intersection Graphs}},
  booktitle =	{38th International Symposium on Computational Geometry (SoCG 2022)},
  pages =	{47:1--47:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-227-3},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{224},
  editor =	{Goaoc, Xavier and Kerber, Michael},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16055},
  URN =		{urn:nbn:de:0030-drops-160555},
  doi =		{10.4230/LIPIcs.SoCG.2022.47},
  annote =	{Keywords: Matchings, disk intersection graphs, approximation algorithms}
}

Keywords: Matchings, disk intersection graphs, approximation algorithms
Collection: 38th International Symposium on Computational Geometry (SoCG 2022)
Issue Date: 2022
Date of publication: 01.06.2022

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