English

A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm

Combinatorics 2017-01-03 v2

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.

Cite

@article{arxiv.1306.5134,
  title  = {A complexity theorem for the Novelli-Pak-Stoyanovskii algorithm},
  author = {Christoph Neumann and Robin Sulzgruber},
  journal= {arXiv preprint arXiv:1306.5134},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T00:38:06.839Z