60 citations · 768 across the 56 of their papers we have counts for
4 papers · 2 filters
Signed tree associahedra
Vincent Pilaud
An associahedron is a polytope whose vertices correspond to the triangulations of a convex polygon and whose edges correspond to flips between them. A particularly elegant realizat…
Analytic combinatorics of chord and hyperchord diagrams with crossings
Vincent Pilaud, Juanjo Rué
Using methods from Analytic Combinatorics, we study the families of perfect matchings, partitions, chord diagrams, and hyperchord diagrams on a disk with a prescribed number of cro…
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…
Denominator vectors and compatibility degrees in cluster algebras of finite type
Cesar Ceballos, Vincent Pilaud
We present two simple descriptions of the denominator vectors of the cluster variables of a cluster algebra of finite type, with respect to any initial cluster seed: one in terms o…