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arXiv · 2401.05558

From geometry to generating functions: rectangulations and permutations

Andrei Asinowski·Cyril Banderier
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Abstract

We enumerate several classes of pattern-avoiding rectangulations. We establish new bijective links with pattern-avoiding permutations, prove that their generating functions are algebraic, and confirm several conjectures by Merino and M\"utze. We also analyze a new class of rectangulations, called whirls, using a generating tree.

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Andrei Asinowski, Cyril Banderier. 2024-01-10. From geometry to generating functions: rectangulations and permutations. https://arxiv.org/abs/2401.05558

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