One More Technique for the Dimer Problem

One More Technique for the Dimer Problem
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DOI:
10.1063/1.1664774
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发表时间:
1969-10
影响因子:
1.3
通讯作者:
J. Percus
J. Percus
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
J. Percus

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将正方形格点二聚体覆盖的计数问题转化为定向闭环覆盖的计数问题。因此,答案被表示为一个合适的永久式的值。这个恒量被转化为行列式,行列式在求值时恢复为熟悉的结果。
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.