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Approximate counting of standard set-valued tableaux
Reuven Hodges, Gidon Orelowitz
We present a randomized algorithm for generating standard set-valued tableaux by extending the Green-Nijenhuis-Wilf hook walk algorithm. In the case of asymptotically rank two part…
Multiplicity-free skew Schur polynomials
Shiliang Gao, Reuven Hodges, Gidon Orelowitz
We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are , and , characters of the skew Schur modules…
Super-Catalan Numbers of the Third and Fourth Kind
Irina Gheorghiciuc, Gidon Orelowitz
The Super-Catalan numbers are a generalization of the Catalan numbers defined as . It is an open problem to find a combinatorial interpreta…
Maximizing the Edelman-Greene statistic
Gidon Orelowitz
The of S. Billey-B. Pawlowski measures the "shortness" of the Schur expansion of a Stanley symmetric function. We show that the maximum value of…