A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm
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 M\"uller concerning the complexity of the Novelli-Pak-Stoyanovskii algorithm as corollary.
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