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arXiv · 2009.06879

Bounded-Degree Spanners in the Presence of Polygonal Obstacles

André van Renssen·Gladys Wong
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Abstract

Let $V$ be a finite set of vertices in the plane and $S$ be a finite set of polygonal obstacles, where the vertices of $S$ are in $V$. We show how to construct a plane $2$-spanner of the visibility graph of $V$ with respect to $S$. As this graph can have unbounded degree, we modify it in three easy-to-follow steps, in order to bound the degree to $7$ at the cost of slightly increasing the spanning ratio to 6.

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André van Renssen, Gladys Wong. 2020-09-15. Bounded-Degree Spanners in the Presence of Polygonal Obstacles. https://arxiv.org/abs/2009.06879

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