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arXiv · 2501.08431

Asymptotic lengths of permutahedra and associahedra

Daria Poliakova
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Abstract

We define asymptotic lengths for families of oriented polytopes. We show that permutahedra with weak order orientations have asymptotic total length 1 and associahedra with Tamari order orientations have asymptotic total length 1/2.

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Daria Poliakova. 2025-01-14. Asymptotic lengths of permutahedra and associahedra. https://arxiv.org/abs/2501.08431

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