Art Gallery Problem with Rook Vision
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We introduce rook visibility, which is a new model of visibility for the art gallery problem when the gallery is a polyomino, the union of square tiles from a square grid. We show that floor(n/2) chess rooks are sufficient and sometimes necessary to guard a polyomino with n tiles. We also prove that finding the minimum number of rooks needed to guard a polyomino is NP-hard.
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