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arXiv · 2403.11861

Robustly Guarding Polygons

Rathish Das·Omrit Filtser·Matthew J. Katz·Joseph S. B. Mitchell
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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, Joseph S. B. Mitchell. 2024-03-18. Robustly Guarding Polygons. https://arxiv.org/abs/2403.11861

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