当前位置: X-MOL 学术Theor. Comput. Sci. › 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 obstacle
Theoretical Computer Science ( IF 1.1 ) Pub Date : 2020-12-17 , DOI: 10.1016/j.tcs.2020.12.024
André van Renssen , Gladys Wong

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.



中文翻译:

存在多边形障碍物的有界扳手

V为平面中的有限顶点集,S为多边形障碍的有限集,其中S的顶点在V中。我们展示了如何构造V相对于S的可见度图的2平面。由于该图可以具有无界度,因此我们通过三个易于遵循的步骤对其进行了修改,以便将度数绑定到7,但代价是将生成比例略微增加到6。

更新日期:2020-12-17
down
wechat
bug