Combinatorial Expressions for F-polynomials in Classical Types

Abstract

We give combinatorial formulas for F-polynomials in cluster algebras of classical types in terms of the weighted paths in certain directed graphs. As a consequence we prove the positivity of F-polynomials in cluster algebras of classical types.

References in corpus (3)

• Positivity for cluster algebras from surfaces
• Quantum F-polynomials in Classical Types
• F-polynomials in Quantum Cluster Algebras