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A new lower bound for deterministic pop-stack-sorting

Combinatorics 2024-08-26 v2 Probability

Abstract

The pop-stack-sorting process is a variation of the stack-sort process. We consider a deterministic version of this process, and provide a new lower bound of 35n\frac{3}{5}n for the number of sorts to fully sort a uniformly randomly chosen permutation via a useful lemma.

Keywords

Cite

@article{arxiv.2307.08188,
  title  = {A new lower bound for deterministic pop-stack-sorting},
  author = {Morgan Bauer and Keith Copenhaver},
  journal= {arXiv preprint arXiv:2307.08188},
  year   = {2024}
}

Comments

European Journal of Combinatorics