APX-Hardness of the Minimum Vision Points Problem

07/10/2022

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by   Mayank Chaturvedi, et al.

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Placing a minimum number of guards on a given watchman route in a polygonal domain is called the 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.