Vincent Pilaud

collaborators

5 papers

math.CO2026

Heaps of rhombic dodecahedra, catalan congruences on alternating sign matrices, and bases of the Temperley-Lieb algebra

Florent Hivert, Vincent Pilaud, Ludovic Schwob

We prove that the excedance relation on permutations defined by N. Bergeron and L. Gagnon actually extends to a congruence of the lattice on alternating sign matrices. Motivated by…

math.CO2025

Plumbing bijections

Vincent Pilaud

The legendary Mario and Luigi show us that whether you slap in the crossings as early as a warp pipe can shoot you or as late as the very last bend, the water system in Yoshi Hill…

math.CO2025

Interval hypergraphic lattices

Nantel Bergeron, Vincent Pilaud

For a hypergraph $H$ on $[n]$ , the hypergraphic poset $P_{H}$ is the transitive closure of the oriented skeleton of the hypergraphic polytope $△_{H}$ …

math.CO2025

Ornamentation lattices and intreeval hypergraphic lattices

Given a directed graph $D$ with transitive closure $tc (D)$ and path hypergraph $P (D)$ , we study the connections between the (acyclic) reorientation poset of…

math.CO2025

Minimum maximal matchings in permutahedra

Sofia Brenner, JiÅÃ Fink, Hung. P. Hoang +2

We prove that the minimal size $M (I ¨ _{n})$ of a maximal matching in the permutahedron $I ¨ _{n}$ is asymptotically $n! /3$ . On the one hand, we obtain a lower bound $M(Ï_n) \ge n! (n-1)…