60 citations · 768 across the 56 of their papers we have counts for
5 papers · 1 filter
Cellular diagonals of permutahedra
Bérénice Delcroix-Oger, Guillaume Laplante-Anfossi, Vincent Pilaud +1
We provide a systematic enumerative and combinatorial study of geometric cellular diagonals on the permutahedra. In the first part of the paper, we study the combinatorics of certa…
Hochschild polytopes
Vincent Pilaud, Daria Poliakova
The -multiplihedron is a polytope whose faces correspond to -painted -trees, and whose oriented skeleton is the Hasse diagram of the rotation lattice on binary -pai…
Celebrating Loday's Associahedron
Vincent Pilaud, Francisco Santos, Günter M. Ziegler
We survey Jean-Louis Loday's vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry and algebra. We present in particular four…
Lattices of acyclic pipe dreams
Nantel Bergeron, Noémie Cartier, Cesar Ceballos +1
We show that for any permutation , the increasing flip graph on acyclic pipe dreams with exiting permutation is a lattice quotient of the interval of the weak order.…
Refined product formulas for Tamari intervals
Alin Bostan, Frédéric Chyzak, Vincent Pilaud
We provide short product formulas for the -vectors of the canonical complexes of the Tamari lattices and of the cellular diagonals of the associahedra.