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In a recent paper [ F. Wang and F. Y. Wu, Phys. Rev. E 75 (2007) 040105(R) ]we reported exact results on the enumeration of close-packed dimers on aninfinite kagome lattice. We computed the per-dimer free energy using both thePfaffian approach and a vertex-model formulation, and found the result given bya simple expression. We also reported results on dimer-dimer correlationswithout giving details. In this paper we present details of the correlationfunction analysis. In addition, we extend the exact enumeration to finitelattices under two different boundary conditions and with asymmetric dimerweights. For symmetric dimer weights the finite-lattice results are againsimple, and we show that they can be understood using a spin variable mapping.We also describe the formulation of a Grassmannian functional integral approachand apply it to the kagome lattice.

Close-packed dimers on the kagome lattice: Finite lattices and the Grassmannian approach