论文标题

反对半后卫

Opposing Half Guards

论文作者

Krohn, Erik, Nilsson, Bengt J., Schmidt, Christiane

论文摘要

我们研究对抗半后卫的美术馆问题:只能向左或右边看到的后卫。我们提出了美术馆定理,表明,在2守形多边形中,半守卫的位置不限于扩展,这表明该问题是单调多边形的NP-HARD,并且呈螺旋和楼梯多边形的近似算法。

We study the art gallery problem for opposing half guards: guards that can either see to their left or to their right only. We present art gallery theorems, show that the location of half guards in 2-guardable polygons is not restricted to extensions, show that the problem is NP-hard in monotone polygons, and present approximation algorithms for spiral and staircase polygons.

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