49 citations · 146 across the 11 of their papers we have counts for
8 papers · 1 filter
Cambrian acyclic domains: counting -singletons
Jean-Philippe Labbé, Carsten Lange
We study the size of certain acyclic domains that arise from geometric and combinatorial constructions. These acyclic domains consist of all permutations visited by commuting equiv…
Associahedra via spines
Carsten Lange, Vincent Pilaud
An associahedron is a polytope whose vertices correspond to triangulations of a convex polygon and whose edges correspond to flips between them. Using labeled polygons, C. Hohlweg…
Isometry classes of generalized associahedra
Nantel Bergeron, Christophe Hohlweg, Carsten Lange +1
Let be a finite Coxeter system acting by reflections on an -Euclidean space with simple roots $Δ=\{\a_s | s\in S\}$ of the same length and fundamental weights $Δ…
Permutahedra and generalized associahedra
Christophe Hohlweg, Carsten Lange, Hugh Thomas
Given a finite Coxeter system and a Coxeter element , we construct a simple polytope whose outer normal fan is N. Reading's Cambrian fan , settling a conjecture of…
Realizations of the associahedron and cyclohedron
Christophe Hohlweg, Carsten Lange
We describe many different realizations with integer coordinates for the associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the Bott-Taubes polytope) and comp…
On generalized Kneser hypergraph colorings
Carsten Lange, Guenter M. Ziegler
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs $\KG{r}{\pmb s}{\calS}$, "generalized -uniform Kneser hypergraphs with inte…