%0 Journal Article %T Combinatorial Expressions for F-polynomials in Classical Types %A Shih-Wei Yang %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0912.2332v2