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by B. Codenotti, G. Resta
http://www.imc.pi.cnr.it/~codenotti/ps_files/genus.ps
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Abstract:

Computation of sparse circulant permanents via determinants

Citations

324 The complexity of computing the permanent – Valiant - 1979
313 Matching Theory – Lovász, Plummer - 1986
67 The statistics of dimers on a lattice, I. The number of dimer arrangements on a quadratic lattice, Physica 27 – Kasteleyn - 1961
63 Completeness Classes in Algebra – Valiant - 1979
46 Dimer statistics and phase transitions – Kasteleyn - 1963
29 On the hardness of computing the permanent of random matrices – Feige, Lund - 1997
11 Matchings in graphs on non-orientable surfaces – Tesler - 2000
8 A combinatorial solution of the two-dimensional Ising model – Kac, Ward - 1952
7 Permanental Compounds and Permanents of (0; 1) Circulants. Linear Algebra and its Appl – Minc - 1987
6 Permanents, Pfaan orientations, and even directed circuits (Extended abstract – Robertson, Seymour, et al. - 1999
5 Aufgabe 424 – Pólya - 1913
4 How fast can one compute the permanent of circulant matrices?', Linear Algebra and its – Bernasconi, Codenotti, et al. - 1999
4 Graph Theory and Crystal – Kasteleyn - 1967
3 On the Theory of Pfaan Orientations – Galluccio, Loebl - 1999
3 Recurrence Formulas for Permanents of (0; 1) Circulants. Linear Algebra and its Appl – Minc - 1985
2 On the Permanent of Certain (0,1) Toeplitz Matrices. Linear Algebra and its Applications, accepted for publication – Codenotti, Crespi, et al. - 1997