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Asymptotic lengths of permutahedra and associahedra

Published 14 Jan 2025 in math.CO | (2501.08431v1)

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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