
The geodesic $k$-center problem in a simple polygon with $n$ vertices consists in the following. Find a set $S$ of $k$ points in the polygon that minimizes the maximum geodesic distance from any point of the polygon to its closest point in $S$. In this paper, we focus on the case where $k=2$ and present an exact algorithm that returns a geodesic $2$-center in $O(n^2\log^2 n)$ time.
LINEAR-TIME ALGORITHMS, Computational Geometry (cs.CG), FOS: Computer and information sciences, Geodesic distance, Simple polygons, Computer Science - Computational Geometry, k-center problem
LINEAR-TIME ALGORITHMS, Computational Geometry (cs.CG), FOS: Computer and information sciences, Geodesic distance, Simple polygons, Computer Science - Computational Geometry, k-center problem
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