Recognition: unknown
The Pfaffian solution of a dimer-monomer problem: Single monomer on the boundary
classification
❄️ cond-mat.stat-mech
math.CO
keywords
problemsolutionboundarydimer-monomerlatticemonomerpfaffiansingle
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.