60 citations · 768 across the 56 of their papers we have counts for
5 papers · 2 filters
Vertex barycenter of generalized associahedra
Vincent Pilaud, Christian Stump
We show that the vertex barycenter of generalized associahedra and permutahedra coincide for any finite Coxeter system.
EL-labelings and canonical spanning trees for subword complexes
Vincent Pilaud, Christian Stump
We describe edge labelings of the increasing flip graph of a subword complex on a finite Coxeter group, and study applications thereof. On the one hand, we show that they provide c…
Obstructions to weak decomposability for simplicial polytopes
Nicolai Hähnle, Steven Klee, Vincent Pilaud
Provan and Billera introduced notions of (weak) decomposability of simplicial complexes as a means of attempting to prove polynomial upper bounds on the diameter of the facet-ridge…
The greedy flip tree of a subword complex
Vincent Pilaud
We describe a canonical spanning tree of the ridge graph of a subword complex on a finite Coxeter group. It is based on properties of greedy facets in subword complexes, defined an…
A note on the diameter of transportation polytopes with prescribed source degrees
Henning Bruhn-Fujimoto, Guillaume Chapuy, Edward D. Kim +1
Brightwell, van den Heuvel and Stougie proved that the diameter of an transportation polytope is at most , a factor of eight away from the Hirsch Conjecture.…