English

An equidistribution involving invisible inversions

Combinatorics 2021-11-05 v1

Abstract

We provide two explicit bijections demonstrating that, among permutations, the number of invisible inversions is equidistributed with the number of occurrences of the vincular pattern 13-2 after sorting the set of runs.

Keywords

Cite

@article{arxiv.2111.02973,
  title  = {An equidistribution involving invisible inversions},
  author = {Michael Coopman and Martin Rubey},
  journal= {arXiv preprint arXiv:2111.02973},
  year   = {2021}
}