60 citations · 768 across the 56 of their papers we have counts for
6 papers · 1 filter
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…
Enumerating topological -configurations
Jürgen Bokowski, Vincent Pilaud
An -configuration is a set of points and lines in the projective plane such that their point-line incidence graph is -regular. The configuration is geometric, top…
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.…