License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ISAAC.2019.27
URN: urn:nbn:de:0030-drops-115238
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11523/
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Bhattacharya, Binay ; Das, Sandip ; Dev, Subhadeep Ranjan

The Weighted k-Center Problem in Trees for Fixed k

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LIPIcs-ISAAC-2019-27.pdf (0.6 MB)


Abstract

We present a linear time algorithm for the weighted k-center problem on trees for fixed k. This partially settles the long-standing question about the lower bound on the time complexity of the problem. The current time complexity of the best-known algorithm for the problem with k as part of the input is O(n log n) by Wang et al. [Haitao Wang and Jingru Zhang, 2018]. Whether an O(n) time algorithm exists for arbitrary k is still open.

BibTeX - Entry

@InProceedings{bhattacharya_et_al:LIPIcs:2019:11523,
  author =	{Binay Bhattacharya and Sandip Das and Subhadeep Ranjan Dev},
  title =	{{The Weighted k-Center Problem in Trees for Fixed k}},
  booktitle =	{30th International Symposium on Algorithms and Computation (ISAAC 2019)},
  pages =	{27:1--27:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-130-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{149},
  editor =	{Pinyan Lu and Guochuan Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11523},
  URN =		{urn:nbn:de:0030-drops-115238},
  doi =		{10.4230/LIPIcs.ISAAC.2019.27},
  annote =	{Keywords: facility location, prune and search, parametric search, k-center problem, conditional k-center problem, trees}
}

Keywords: facility location, prune and search, parametric search, k-center problem, conditional k-center problem, trees
Collection: 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Issue Date: 2019
Date of publication: 28.11.2019


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