31 citations · 42 across the 12 of their papers we have counts for
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Supersolvable LL-lattices of binary trees
Riccardo Biagioli, Frederic Chapoton
Some posets of binary leaf-labeled trees are shown to be supersolvable lattices and explicit EL-labelings are given. Their characteristic polynomials are computed, recovering their…
Antichains of positive roots and Heaviside functions
Frederic Chapoton
The ring of locally-constant integer-valued functions on the dominant chamber of the Shi arrangement is endowed with a filtration and a new basis, compatible with this filtration,…
Free hyperplane arrangements associated to labeled rooted trees
Frederic Chapoton
Each labeled rooted tree is associated with a hyperplane arrangement, which is free with exponents given by the depths of the vertices of this tree. The intersection lattices of th…
A Hopf operad of forests of binary trees and related finite-dimensional algebras
Frederic Chapoton
The theme of this article is the algebraic combinatorics of leaf-labeled rooted binary trees and forests of such trees. The structure of a Hopf operad is defined on the vector spac…
Polytopal realizations of generalized associahedra
Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a ge…