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math.CO2024
Vertices of the monotone path polytopes of hypersimplicies
Germain Poullot
The monotone path polytope of a polytope encapsulates the combinatorial behavior of the shadow vertex rule (a pivot rule used in linear programming) on . Computing monotone…
math.CO2024
Pivot polytopes of products of simplices and shuffles of associahedra
Vincent Pilaud, Germain Poullot
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.
math.CO2024
Deformation cones of graphical zonotopes for -free graph
Germain Poullot
In this paper, we compute a triangulation of certain faces of the submodular cone. More precisely, graphical zonotopes are generalized permutahedra, and hence their deformation con…