Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en De, Minati; Nandy, Subhas C.; Roy, Sasanka http://www.dagstuhl.de/lipics License
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URN: urn:nbn:de:0030-drops-38855
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Minimum Enclosing Circle with Few Extra Variables

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Abstract

Asano et al. [JoCG 2011] proposed an open problem of computing the minimum enclosing circle of a set of n points in R^2 given in a read-only array in sub-quadratic time. We show that Megiddo's prune and search algorithm for computing the minimum radius circle enclosing the given points can be tailored to work in a read-only environment in O(n^{1+epsilon}) time using O(log n) extra space, where epsilon is a positive constant less than 1. As a warm-up, we first solve the same problem in an in-place setup in linear time with O(1) extra space.

BibTeX - Entry

@InProceedings{de_et_al:LIPIcs:2012:3885,
  author =	{Minati De and Subhas C. Nandy and Sasanka Roy},
  title =	{{Minimum Enclosing Circle with Few Extra Variables}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012) },
  pages =	{510--521},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-47-7},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{18},
  editor =	{Deepak D'Souza and Telikepalli Kavitha and Jaikumar Radhakrishnan},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2012/3885},
  URN =		{urn:nbn:de:0030-drops-38855},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2012.510},
  annote =	{Keywords: Minimum enclosing circle, space-efficient algorithm,  prune-and-search}
}

Keywords: Minimum enclosing circle, space-efficient algorithm, prune-and-search
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)
Related Scholarly Article:
Issue date: 2012
Date of publication: 2012


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