On the Complexity of Half-Guarding Monotone Polygons

04/27/2022

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by   Hannah Miller Hillberg, et al.

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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.