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A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm

arXiv:1306.5134

Abstract

We describe two aspects of the behaviour of entries of Young tableaux during the application of the Novelli-Pak-Stoyanovskii algorithm. We derive two theorems which both contain a generalized version of a conjecture by Krattenthaler and Müller concerning the complexity of the Novelli-Pak-Stoyanovskii algorithm as corollary.

v2: 20 pages, 10 figures, final version (v1: 17 pages, 3 figures)