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arXiv · 2204.13143

On the Complexity of Half-Guarding Monotone Polygons

Hannah Miller Hillberg·Erik Krohn·Alex Pahlow
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Abstract

We consider a variant of the art gallery problem where all guards are limited to seeing to the right inside a monotone polygon. We call such guards: half-guards. We provide a polynomial-time approximation for point guarding the entire monotone polygon. We improve the best known approximation of 40 from [11], to 8. We also provide an NP-hardness reduction for point guarding a monotone polygon with half-guards.

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Hannah Miller Hillberg, Erik Krohn, Alex Pahlow. 2022-04-27. On the Complexity of Half-Guarding Monotone Polygons. https://arxiv.org/abs/2204.13143

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