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arXiv · 2004.01599

Geodesic Spanners for Points in $\mathbb{R}^3$ amid Axis-parallel Boxes

Mohammad Ali Abam·Mohammad Javad Rezaei Seraji
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Abstract

Let $P$ be a set of $n$ points in $\mathbb{R}^3$ amid a bounded number of obstacles. When obstacles are axis-parallel boxes, we prove that $P$ admits an $8\sqrt{3}$-spanner with $O(n\log^3 n)$ edges with respect to the geodesic distance.

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Mohammad Ali Abam, Mohammad Javad Rezaei Seraji. 2020-08-08. Geodesic Spanners for Points in $\mathbb{R}^3$ amid Axis-parallel Boxes. https://arxiv.org/abs/2004.01599

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