A one-parameter generalization of Pfaffians
Combinatorics
2013-11-27 v1
Abstract
In analogy to the definition of the lambda-determinant, we define a one-parameter deformation of the Dodgson condensation formula for Pfaffians. We prove that the resulting rational function is a polynomial with weights given by the crossings and nestings of perfect matchings and prove several identities and closed-form evaluations.
Cite
@article{arxiv.1311.6691,
title = {A one-parameter generalization of Pfaffians},
author = {Theresia Eisenkölbl and Masao Ishikawa and Jiang Zeng},
journal= {arXiv preprint arXiv:1311.6691},
year = {2013}
}
Comments
12 pages, 6 figures