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arXiv · 1910.12177

Computing a Geodesic Two-Center of Points in a Simple Polygon

Eunjin Oh·Sang Won Bae·Hee-Kap Ahn
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Abstract

Given a simple polygon $P$ and a set $Q$ of points contained in $P$, we consider the geodesic $k$-center problem where we want to find $k$ points, called \emph{centers}, in $P$ to minimize the maximum geodesic distance of any point of $Q$ to its closest center. In this paper, we focus on the case for $k=2$ and present the first exact algorithm that efficiently computes an optimal $2$-center of $Q$ with respect to the geodesic distance in $P$.

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Eunjin Oh, Sang Won Bae, Hee-Kap Ahn. 2019-10-27. Computing a Geodesic Two-Center of Points in a Simple Polygon. https://arxiv.org/abs/1910.12177

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