One more technique for the dimer problem

Jerome Percus

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1881-1884
Number of pages4
JournalJournal of Mathematical Physics
Volume10
Issue number10
StatePublished - 1969

Fingerprint

Dimer
Dimers
Counting
counting
coverings
Covering
dimers
Square Lattice
determinants
Closed-loop
Determinant
evaluation
Evaluation

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

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

In: Journal of Mathematical Physics, Vol. 10, No. 10, 1969, p. 1881-1884.

Research output: Contribution to journalArticle

Percus, J 1969, 'One more technique for the dimer problem', Journal of Mathematical Physics, vol. 10, no. 10, pp. 1881-1884.
Percus, Jerome. / One more technique for the dimer problem. In: Journal of Mathematical Physics. 1969 ; Vol. 10, No. 10. pp. 1881-1884.
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