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math.CO2011★ 54 cited
Brick polytopes of spherical subword complexes and generalized associahedra
Vincent Pilaud, Christian Stump
We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certai…
math.CO2011★ 60 cited
The brick polytope of a sorting network
Vincent Pilaud, Francisco Santos
The associahedron is a polytope whose graph is the graph of flips on triangulations of a convex polygon. Pseudotriangulations and multitriangulations generalize triangulations in t…