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arXiv 2207.04474cs.CG
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反对半后卫

Opposing Half Guards

Erik Krohn, Bengt J. Nilsson, Christiane Schmidt

摘要:

我们研究了反对半后卫的画廊问题:后卫可以看到他们的左边或他们的右边。我们提出了画廊定理,表明在2-guardable多边形的半后卫的位置不限于扩展,表明该问题是NP-困难的单调多边形,并提出近似算法的螺旋和楼梯多边形。

英文摘要:

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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