English

Universal layered permutations

Combinatorics 2017-10-13 v1

Abstract

We establish an exact formula for the length of the shortest permutation containing all layered permutations of length nn, proving a conjecture of Gray.

Keywords

Cite

@article{arxiv.1710.04240,
  title  = {Universal layered permutations},
  author = {Michael Albert and Michael Engen and Jay Pantone and Vincent Vatter},
  journal= {arXiv preprint arXiv:1710.04240},
  year   = {2017}
}
R2 v1 2026-06-22T22:10:41.340Z