Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Fekete, Sándor P.; Li, Qian; Mitchell, Joseph S. B.; Scheffer, Christian https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-68022
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Universal Guard Problems

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Abstract

We provide a spectrum of results for the Universal Guard Problem, in which one is to obtain a small set of points ("guards") that are "universal" in their ability to guard any of a set of possible polygonal domains in the plane. We give upper and lower bounds on the number of universal guards that are always sufficient to guard all polygons having a given set of n vertices, or to guard all polygons in a given set of k polygons on an n-point vertex set. Our upper bound proofs include algorithms to construct universal guard sets of the respective cardinalities.

BibTeX - Entry

@InProceedings{fekete_et_al:LIPIcs:2016:6802,
  author =	{S{\'a}ndor P. Fekete and Qian Li and Joseph S. B. Mitchell and Christian Scheffer},
  title =	{{Universal Guard Problems}},
  booktitle =	{27th International Symposium on Algorithms and Computation (ISAAC 2016)},
  pages =	{32:1--32:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-026-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{64},
  editor =	{Seok-Hee Hong},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6802},
  URN =		{urn:nbn:de:0030-drops-68022},
  doi =		{10.4230/LIPIcs.ISAAC.2016.32},
  annote =	{Keywords: Art Gallery Problem, universal guarding, polygonization, worst-case bounds, robust covering}
}

Keywords: Art Gallery Problem, universal guarding, polygonization, worst-case bounds, robust covering
Seminar: 27th International Symposium on Algorithms and Computation (ISAAC 2016)
Issue date: 2016
Date of publication: 07.12.2016


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