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arXiv · 2602.17294

On the complexity of covering points by guillotine cuts

Delia Garijo·Alberto Márquez·Rodrigo I. Silveira
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Abstract

We show that the problem of covering a set of points in the plane with a minimum number of guillotine cuts is NP-complete. To that end, first we present a new NP-completeness proof for the problem of covering points with disjoint line segments. Then, we adapt the proof to show that the problem remains NP-complete when the segments are guillotine cuts.

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Delia Garijo, Alberto Márquez, Rodrigo I. Silveira. 2026-02-19. On the complexity of covering points by guillotine cuts. https://arxiv.org/abs/2602.17294

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