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Overlapping Pfaffians

Research paper by Donald E. Knuth

Indexed on: 15 Mar '95Published on: 15 Mar '95Published in: Mathematics - Combinatorics



Abstract

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.