Robustly Guarding Polygons

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication40th International Symposium on Computational Geometry, SoCG 2024
EditorsWolfgang Mulzer, Jeff M. Phillips
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959773164
DOIs
StatePublished - 1 Jun 2024
Event40th International Symposium on Computational Geometry, SoCG 2024 - Athens, Greece
Duration: 11 Jun 202414 Jun 2024

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume293
ISSN (Print)1868-8969

Conference

Conference40th International Symposium on Computational Geometry, SoCG 2024
Country/TerritoryGreece
CityAthens
Period11/06/2414/06/24

Keywords

  • approximation algorithms
  • geometric optimization
  • guarding

ASJC Scopus subject areas

  • Software

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