17 citations · 73 across the 26 of their papers we have counts for
4 papers · 1 filter
Deformed graphical zonotopes
Arnau Padrol, Vincent Pilaud, Germain Poullot
We study deformations of graphical zonotopes. Deformations of the classical permutahedron (which is the graphical zonotope of the complete graph) have been intensively studied in r…
Deformation cones of graph associahedra and nestohedra
Arnau Padrol, Vincent Pilaud, Germain Poullot
We give the facet description of the deformation cones of graph associahedra and nestohedra, generalizing the classical parametrization of the family of deformed permutahedra by th…
An effective solution to convex -body -representability
Federico Castillo, Jean-Philippe Labbé, Julia Liebert +3
From a geometric point of view, Pauli's exclusion principle defines a hypersimplex. This convex polytope describes the compatibility of -fermion and -fermion density matrices…
Sweeps, polytopes, oriented matroids, and allowable graphs of permutations
Arnau Padrol, Eva Philippe
A sweep of a point configuration is any ordered partition induced by a linear functional. Posets of sweeps of planar point configurations were formalized and abstracted by Goodman…