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Perfectly Guarding Straits: Exact Algorithms for Weak Visibility Polygons

Mondal, Shouvik et al.
arXiv (OAI Expanded) · Papers
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computational-geometrydata-structures-and-algorithmsdiscrete-mathematicsg-2-2
The Art Gallery Problem (AGP) asks for the fewest guards that see all of a simple polygon. It is $\exists\mathbb{R}$-complete, hence NP-hard. We show that for a particular class of polygons, confining guards to a single edge makes AGP exactly and efficiently solvable. We call this the Strait Guardin
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