### 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 |

State | Published - 1969 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*10*(10), 1881-1884.

**One more technique for the dimer problem.** / Percus, Jerome.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 10, no. 10, pp. 1881-1884.

}

TY - JOUR

T1 - One more technique for the dimer problem

AU - Percus, Jerome

PY - 1969

Y1 - 1969

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000401025&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000401025&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000401025

VL - 10

SP - 1881

EP - 1884

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 10

ER -