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arXiv · 1003.4963

Bounded Degree Planar Geometric Spanners

Paz Carmi·Lilach Chaitman
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Abstract

Given a set $P$ of $n$ points in the plane, we show how to compute in $O(n \log n)$ time a subgraph of their Delaunay triangulation that has maximum degree 7 and is a strong planar $t$-spanner of $P$ with $t =(1+ \sqrt{2})^2 *δ$, where $δ$ is the spanning ratio of the Delaunay triangulation. Furthermore, given a Delaunay triangulation, we show a distributed algorithm that computes the same bounded degree planar spanner in O(n) time.

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Paz Carmi, Lilach Chaitman. 2010-03-25. Bounded Degree Planar Geometric Spanners. https://arxiv.org/abs/1003.4963

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