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9

COMBINATORICS
1998

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An Exploration of the Permanent-Determinant Method

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An Exploration of the Permanent-Determinant Method

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The permanent-determinant method and its generalization, the HafnianPfaﬃan method, are methods to enumerate perfect matchings of plane graphs that were discovered by P. W. Kasteleyn. We present several new techniques and arguments related to the permanent-determinant with consequences in enumerative combinatorics. Here are some of the results that follow from these techniques:

Greg Kuperberg

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COMBINATORICS 1998 | HafnianPfaﬃan Method | Perfect Matchings | Permanent-determinant Method |

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Added	21 Dec 2010
Updated	21 Dec 2010
Type	Journal
Year	1998
Where	COMBINATORICS
Authors	Greg Kuperberg

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