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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Discrete and Computational Geometry
DOIs	https://doi.org/10.1007/s00454-025-00765-y
Publication status	Accepted/In press - 1 Jan 2025
Externally published	Yes

Keywords

Associahedra
Pivot polytope
Pivot rules
Shuffle product
Simplex algorithm

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10.1007/s00454-025-00765-y

Cite this

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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",

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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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JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

ER -

Pivot Polytopes of Products of Simplices and Shuffles of Associahedra

Abstract

Keywords

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