English

An involution on set partitions

Combinatorics 2022-04-07 v1

Abstract

We present an involution on set partitions that interchanges two statistics related to relative size of block entries and use it to establish an equidistribution on objects counted by the Bessel numbers.

Keywords

Cite

@article{arxiv.2204.02556,
  title  = {An involution on set partitions},
  author = {David Callan},
  journal= {arXiv preprint arXiv:2204.02556},
  year   = {2022}
}

Comments

3 pages

R2 v1 2026-06-24T10:39:17.835Z