Dominating set of rectangles intersecting a straight line

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Conference Article

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CCCG 2017 - 29th Canadian Conference on Computational Geometry, Proceedings


We study the dominating set problem using axis-parallel rectangles and unit squares on the plane. These geometric objects are constrained to be intersected by a straight line which makes an angle with the x-axis. For axis-parallel rectangles, we prove that this problem is NP-complete. When the objects are axis-parallel unit square, we give a polynomial time algorithm. For unit squares which touch the straight line at a single point from either side of the straight line, we give an O(n log n) time algorithm.

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