2013/11/26 by Theresia Eisenkölbl, Eisenkölbl, Theresia, Masao Ishikawa +3
Mathematics · #05A05 (Primary) 05A19 #05A15 (Secondary) #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1311.6691
openalex publication_date 2013/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.