ROBUSTLY GUARDING POLYGONS

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

doi:10.20382/jocg.v16i2a6

ROBUSTLY GUARDING POLYGONS

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

Applied Mathematics and Statistics

University of Houston
Open University of Israel
Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Pages (from-to)	175-206
Number of pages	32
Journal	Journal of Computational Geometry
Volume	16
Issue number	2
DOIs	https://doi.org/10.20382/jocg.v16i2a6
State	Published - May 14 2025

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10.20382/jocg.v16i2a6

Cite this

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title = "ROBUSTLY GUARDING POLYGONS",

abstract = "We propose precise notions of what it means to guard a domain {\textquotedblleft}robustly{\textquotedblright}, 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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AB - 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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DO - 10.20382/jocg.v16i2a6

M3 - Article

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ROBUSTLY GUARDING POLYGONS

Abstract

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