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DOI: 10.4230/LIPIcs.SoCG.2024.47

Robustly Guarding Polygons

Authors: Rathish Das, Omrit Filtser, Matthew J. Katz, and Joseph S.B. Mitchell

Published in: LIPIcs, Volume 293, 40th International Symposium on Computational Geometry (SoCG 2024)

Abstract

We propose precise notions of what it means to guard a domain "robustly", under a variety of models. While approximation algorithms for minimizing the number of (precise) point guards in a polygon is a notoriously challenging area of investigation, we show that imposing various degrees of robustness on the notion of visibility coverage leads to a more tractable (and realistic) problem for which we can provide approximation algorithms with constant factor guarantees.

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Rathish Das, Omrit Filtser, Matthew J. Katz, and Joseph S.B. Mitchell. Robustly Guarding Polygons. In 40th International Symposium on Computational Geometry (SoCG 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 293, pp. 47:1-47:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{das_et_al:LIPIcs.SoCG.2024.47,
  author =	{Das, Rathish and Filtser, Omrit and Katz, Matthew J. and Mitchell, Joseph S.B.},
  title =	{{Robustly Guarding Polygons}},
  booktitle =	{40th International Symposium on Computational Geometry (SoCG 2024)},
  pages =	{47:1--47:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-316-4},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{293},
  editor =	{Mulzer, Wolfgang and Phillips, Jeff M.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.47},
  URN =		{urn:nbn:de:0030-drops-199928},
  doi =		{10.4230/LIPIcs.SoCG.2024.47},
  annote =	{Keywords: geometric optimization, approximation algorithms, guarding}
}

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Robustly Guarding Polygons

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