Mixed Dimer Configuration Model in Type D Cluster Algebras
Mixed Dimer Configuration Model in Type D Cluster Algebras
We define a combinatorial model for $F$-polynomials and $g$-vectors for type $D_n$ cluster algebras where the associated quiver is acyclic. Our model utilizes a combination of dimer configurations and double dimer configurations which we refer to as mixed dimer configurations. In particular, we give a graph theoretic recipe that describes …