Combinatorial Expressions for F-polynomials in Classical Types

Details Combinatorial Expressions for F-polynomials in Classical Types Combinatorial Expressions for F-polynomials in Classical Types

2009-12-11

arxiv.org/abs/0912.2332v2

Mathematics

Combinatorics

Scientific paper

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.

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