Pivot Polytopes of Products of Simplices and Shuffles of Associahedra

Vincent Pilaud; Germain Poullot

doi:10.1007/s00454-025-00765-y

Pivot Polytopes of Products of Simplices and Shuffles of Associahedra

Vincent Pilaud
, Germain Poullot

Centre de Recerca Matemàtica
University of Osnabrück

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We provide a piecewise linear isomorphism from the normal fan of the pivot polytope of a product of simplices to the normal fan of a shuffle of associahedra.

langue originale	Anglais
journal	Discrete and Computational Geometry
Les DOIs	https://doi.org/10.1007/s00454-025-00765-y
état	Accepté/En presse - 1 janv. 2025
Modification externe	Oui

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10.1007/s00454-025-00765-y

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title = "Pivot Polytopes of Products of Simplices and Shuffles of Associahedra",

abstract = "We provide a piecewise linear isomorphism from the normal fan of the pivot polytope of a product of simplices to the normal fan of a shuffle of associahedra.",

keywords = "Associahedra, Pivot polytope, Pivot rules, Shuffle product, Simplex algorithm",

author = "Vincent Pilaud and Germain Poullot",

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AU - Poullot, Germain

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KW - Pivot polytope

KW - Pivot rules

KW - Shuffle product

KW - Simplex algorithm

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SN - 0179-5376

JO - Discrete and Computational Geometry

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ER -

Pivot Polytopes of Products of Simplices and Shuffles of Associahedra

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