Visualizing Vandermonde's determinant through nonintersecting lattice paths

DOI10.1016/j.jspi.2010.01.029zbMath1232.05013OpenAlexW1992412442MaRDI QIDQ972840

Jennifer J. Quinn Massey

Publication date: 21 May 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.01.029

zbMATH Keywords

combinatorial proofssigned involutionLindström-Gessel-Viennot

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• Binomial determinants, paths, and hook length formulae
• A combinatorial approach to matrix algebra
• Combinatorics and total positivity
• A Combinatorial Proof of Vandermonde's Determinant
• Tournaments and Vandermond's determinant
• Counting on Determinants
• On the Vector Representations of Induced Matroids
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