Dyck paths and a bijection for multisets of hook numbers

Details Dyck paths and a bijection for multisets of hook numbers Dyck paths and a bijection for multisets of hook numbers

2001-02-28

arxiv.org/abs/math/0102223v1

Discrete Math., 254 (2002), no. 1-3, 153-164

Mathematics

Combinatorics

10 pages, 4 figures

Scientific paper

We give a bijective proof of a conjecture of Regev and Vershik on the
equality of two multisets of hook numbers of certain skew-Young diagrams. The
bijection proves a result that is stronger and more symmetric than the original
conjecture, by means of a construction involving Dyck paths, a particular type
of lattice path.

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