60 citations · 768 across the 56 of their papers we have counts for
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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…
Acyclic reorientation lattices and their lattice quotients
Vincent Pilaud
We prove that the acyclic reorientation poset of a directed acyclic graph is a lattice if and only if the transitive reduction of any induced subgraph of is a forest. We th…
The canonical complex of the weak order
Doriann Albertin, Vincent Pilaud
We define and study the canonical complex of a finite semidistributive lattice . It is the simplicial complex on the join or meet irreducible elements of which encodes each…
Edge connectivity of simplicial polytopes
Guillermo Pineda-Villavicencio, Julien Ugon
A simplicial polytope is a polytope with all its facets being combinatorially equivalent to simplices. We deal with the edge connectivity of the graphs of simplicial polytopes. We…
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…