Geodesic
Overlapping Pfaffians
The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2
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A combinatorial construction proves an identity for the product of the Pfaffian of a skew-symmetric matrix by the Pfaffian of one of its submatrices. Several applications of this identity are followed by a brief history of Pfaffians.
DOI : 10.37236/1263
Classification : 15A15, 05B20, 15B57
Mots-clés : antisymmetric matrix, determinant, Pfaffian, perfect matchings, identities for determinants, skew-symmetric Blaschke operator 
@article{10_37236_1263,
     author = {Donald E. Knuth},
     title = {Overlapping {Pfaffians}},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {2},
     doi = {10.37236/1263},
     zbl = {0862.15007},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1263/}
}
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Donald E. Knuth. Overlapping Pfaffians. The electronic journal of combinatorics, The Foata Festschrift volume, Tome 3 (1996) no. 2. doi: 10.37236/1263

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