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math.RT2008★ 5 cited
Cluster expansion formulas and perfect matchings
Gregg Musiker, Ralf Schiffler
We study cluster algebras with principal coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansion of cluster v…
math.RT2008★ 10 cited
On cluster algebras arising from unpunctured surfaces II
Ralf Schiffler
We study cluster algebras with principal and arbitrary coefficient systems that are associated to unpunctured surfaces. We give a direct formula for the Laurent polynomial expansio…