559 citations · 1.2k across the 37 of their papers we have counts for
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math.CO2005
Root systems and generalized associahedra
Sergey Fomin, Nathan Reading
These lecture notes for the IAS/Park City Graduate Summer School in Geometric Combinatorics (July 2004) provide an overview of root systems, generalized associahedra, and the combi…
math.CO2005★ 147 cited
Generalized cluster complexes and Coxeter combinatorics
Sergey Fomin, Nathan Reading
We introduce and study a family of simplicial complexes associated to an arbitrary finite root system and a nonnegative integer parameter m. For m=1, our construction specializes t…