English

Further equidistribution of set-valued statistics on permutations

Combinatorics 2019-11-13 v1 Classical Analysis and ODEs

Abstract

We construct bijections to show that two pairs of sextuple set-valued statistics of permutations are equidistributed on symmetric groups. This extends a recent result of Sokal and the second author valid for integer-valued statistics as well as a previous result of Foata and Han for bivariable set-valued statistics.

Keywords

Cite

@article{arxiv.1911.04849,
  title  = {Further equidistribution of set-valued statistics on permutations},
  author = {Jianxi Mao and Jiang Zeng},
  journal= {arXiv preprint arXiv:1911.04849},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-23T12:12:58.356Z