论文标题

关于半延伸单调多边形的复杂性

On the Complexity of Half-Guarding Monotone Polygons

论文作者

Hillberg, Hannah Miller, Krohn, Erik, Pahlow, Alex

论文摘要

我们考虑了美术馆问题的一种变体,其中所有警卫都仅限于单调多边形内的右侧。我们称之为这样的警卫:半守护者。我们提供了多项式时间近似,用于守护整个单调多边形。我们将最著名的40个近似值从[11]提高到8。我们还提供了NP硬度,以守护用半导体的单调多边形。

We consider a variant of the art gallery problem where all guards are limited to seeing to the right inside a monotone polygon. We call such guards: half-guards. We provide a polynomial-time approximation for point guarding the entire monotone polygon. We improve the best known approximation of 40 from [11], to 8. We also provide an NP-hardness reduction for point guarding a monotone polygon with half-guards.

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