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Ortho-unit polygons can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards
Published 26 Aug 2022 in cs.CG and math.CO | (2208.12864v2)
Abstract: An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit polygon with $n \geq 12$ vertices can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards, which is a tight bound.
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