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Art gallery problem with guards whose range of vision is 180
Authors:Csaba D Tth
Institution:Csaba D. Tóth
Abstract:It is shown that in any polygonal art gallery of n sides it is possible to place left floorn/3right floor point guards whose range of vision is 180° so that every interior point of the gallery can be seen by at least one of them. The guards can be stationed at any point of the art gallery. This settles an open problem posed by J. Urrutia.
Keywords:Art gallery  Visibility  Simple polygon  Planar graph
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