Replacing Pfaffians and applications

Details Replacing Pfaffians and applications Replacing Pfaffians and applications

2005-11-12

arxiv.org/abs/math/0511315v1

Mathematics

Combinatorics

22 pages, 2 figures

Scientific paper

We present some Pfaffian identities, which are completely different from the Pl\"ucker relations. As consequences we obtain a quadratic identity for the number of perfect matchings of plane graphs, which has a simpler form than the formula by Yan et al (Graphical condensation of plane graphs: a combinatorial approach, Theoret. Comput. Sci., to appear), and we also obtain some new determinant identities.

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