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.
翻译:我们认为艺术席问题的一个变体,就是所有警卫都局限于在单核酮多边形内看右侧。我们称之为这些警卫:半核卫。我们为整个单核酮多边形的守卫点提供了多核时近似值。我们把已知的40的近似值从[11]提高到8。我们还为单核酮多边形的看守点提供了NP硬度的降低值。