English

The Foata correspondence, cycle lengths and anomalies

Combinatorics 2020-01-13 v3

Abstract

In their study of the densest jammed configurations for theater models, Krapivsky and Luck observe that two classes of permutations have the same cardinalities and ask for a bijection between them. In this note we show that the Foata correspondence provides the desired bijection.

Keywords

Cite

@article{arxiv.1905.07618,
  title  = {The Foata correspondence, cycle lengths and anomalies},
  author = {Sanjay Ramassamy},
  journal= {arXiv preprint arXiv:1905.07618},
  year   = {2020}
}

Comments

3 pages, 1 figure