当前位置: X-MOL 学术arXiv.cs.CG › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Bounded-Degree Spanners in the Presence of Polygonal Obstacles
arXiv - CS - Computational Geometry Pub Date : 2020-09-15 , DOI: arxiv-2009.06879
Andr\'e van Renssen and Gladys Wong

Let $V$ be a finite set of vertices in the plane and $S$ be a finite set of polygonal obstacles. 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.

中文翻译:

存在多边形障碍的有界度扳手

令$V$ 是平面中的一组有限顶点,$S$ 是一组有限的多边形障碍物。我们展示了如何构建一个平面 $2$-spanner 的 $V$ 相对于 $S$ 的可见性图。由于此图可以具有无限度,我们通过三个易于遵循的步骤对其进行修改,以将度数限制为 7 美元,代价是将跨越比略微增加到 6。
更新日期:2020-09-16
down
wechat
bug