Combinatorial Expressions for F-polynomials in Classical Types
Combinatorics
2009-12-14 v2 Representation Theory
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.
Cite
@article{arxiv.0912.2332,
title = {Combinatorial Expressions for F-polynomials in Classical Types},
author = {Shih-Wei Yang},
journal= {arXiv preprint arXiv:0912.2332},
year = {2009}
}