60 citations · 768 across the 56 of their papers we have counts for
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math.CO2015★ 25 cited
Brick polytopes, lattice quotients, and Hopf algebras
Vincent Pilaud
This paper is motivated by the interplay between the Tamari lattice, J.-L. Loday's realization of the associahedron, and J.-L. Loday and M. Ronco's Hopf algebra on binary trees. We…
math.AC2015★ 8 cited
Cluster algebras of type D: pseudotriangulations approach
Cesar Ceballos, Vincent Pilaud
We present a combinatorial model for cluster algebras of type in terms of centrally symmetric pseudotriangulations of a regular -gon with a small disk in the centre. This…
math.CO2015★ 17 cited
Compatibility fans for graphical nested complexes
Thibault Manneville, Vincent Pilaud
Graph associahedra are natural generalizations of the classical associahedra. They provide polytopal realizations of the nested complex of a graph , defined as the simplicial co…