One more technique for the dimer problem

Jerome K. Percus

doi:10.1063/1.1664774

One more technique for the dimer problem

Jerome K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of counting the dimer coverings of a square lattice is recast as a counting of coverings by oriented closed loops. Thus the answer is expressed as the value of a suitable permanent. This permanent is transformed to a determinant, which on evaluation recovers the familiar result.

Original language	English (US)
Pages (from-to)	1881-1884
Number of pages	4
Journal	Journal of Mathematical Physics
Volume	10
Issue number	10
DOIs	https://doi.org/10.1063/1.1664774
State	Published - 1969

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1664774

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abstract = "The problem of counting the dimer coverings of a square lattice is recast as a counting of coverings by oriented closed loops. Thus the answer is expressed as the value of a suitable permanent. This permanent is transformed to a determinant, which on evaluation recovers the familiar result.",

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One more technique for the dimer problem

Abstract

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