APX-Hardness of the Minimum Vision Points Problem

Mayank Chaturvedi; Bengt J. Nilsson

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arXiv · 2207.04488

APX-Hardness of the Minimum Vision Points Problem

Mayank Chaturvedi·Bengt J. Nilsson

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Abstract

Placing a minimum number of guards on a given watchman route in a polygonal domain is called the {\em minimum vision points problem}. We prove that finding the minimum number of vision points on a shortest watchman route in a simple polygon is APX-Hard. We then extend the proof to the class of rectilinear polygons having at most three dent orientations.

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Mayank Chaturvedi, Bengt J. Nilsson. 2022-07-10. APX-Hardness of the Minimum Vision Points Problem. https://arxiv.org/abs/2207.04488

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