Article ID Journal Published Year Pages File Type
414701 Computational Geometry 2013 10 Pages PDF
Abstract

We introduce the notion of a normal gallery, a gallery in which any configuration of guards that visually covers the walls necessarily covers the entire gallery. We show that any star gallery is normal and any gallery with at most two reflex corners is normal. A polynomial time algorithm is provided deciding if, for a given gallery and a finite set of positions within the gallery, there exists a configuration of guards in some of these positions that visually covers the walls, but not the entire gallery.

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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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