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The Pfaffian solution of a dimer-monomer problem: Single monomer on the boundary

F. Y. Wu
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Abstract

We consider the dimer-monomer problem for the rectangular lattice. By mapping the problem into one of close-packed dimers on an extended lattice, we rederive the Tzeng-Wu solution for a single monomer on the boundary by evaluating a Pfaffian. We also clarify the mathematical content of the Tzeng-Wu solution by identifying it as the product of the nonzero eigenvalues of the Kasteleyn matrix.

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F. Y. Wu. 2006-07-25. The Pfaffian solution of a dimer-monomer problem: Single monomer on the boundary. https://doi.org/10.1103/physreve.74.020104

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