559 citations · 1.2k across the 37 of their papers we have counts for
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math.RA2002★ 559 cited
Cluster algebras II: Finite type classification
Sergey Fomin, Andrei Zelevinsky
This paper continues the study of cluster algebras initiated in math.RT/0104151. Its main result is the complete classification of the cluster algebras of finite type, i.e., those…
math.CO2002★ 4 cited
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…