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A multiset hook length formula and some applications

✍ Scribed by Paul-Olivier Dehaye; Guo-Niu Han


Book ID
113567422
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
493 KB
Volume
311
Category
Article
ISSN
0012-365X

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Binomial determinants, paths, and hook l
✍ Ira Gessel; GΓ©rard Viennot πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 828 KB

We give a combinatorial interpretation for any minor (or binomial determinant) of the matrix of binomial coefficients. This interpretation involves configurations of nonintersecting paths, and is related to Young tableaux and hook length formulae.