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arXiv · 1911.09740

An Upper Bound for the Number of Rectangulations of a Planar Point Set

Hannah Ashbach·Kiki Pichini
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Abstract

We prove that every set of n points in the plane has at most $(16+5/6)^n$ rectangulations. This improves upon a long-standing bound of Ackerman. Our proof is based on the cross-graph charging-scheme technique.

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Hannah Ashbach, Kiki Pichini. 2022-07-14. An Upper Bound for the Number of Rectangulations of a Planar Point Set. https://arxiv.org/abs/1911.09740

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