Mixed Dimer Configuration Model in Type D Cluster Algebras

We define a combinatorial model for $F$-polynomials and $g$-vectors type $D_n$ cluster algebras where the associated quiver is acyclic. Our utilizes combination of dimer configurations double which we refer to as mixed configurations. In particular, give graph theoretic recipe that describes monomials appear in such $F$-polynomials, well way determine coefficients each these monomials. addition, prove weighting on our configuration yields $g$-vector. To this formula, use formula due Thao Tran (arXiv:0911.4462, 2009) provide explicit bijections between her own.