English

Permutations avoiding sets of patterns with long monotone subsequences

Combinatorics 2022-08-23 v2

Abstract

We enumerate permutations that avoid all but one of the kk patterns of length kk starting with a monotone increasing subsequence of length k1k-1. We compare the size of such permutation classes to the size of the class of permutations avoiding the monotone increasing subsequence of length k1k-1.

Keywords

Cite

@article{arxiv.2103.06918,
  title  = {Permutations avoiding sets of patterns with long monotone subsequences},
  author = {Miklós Bóna and Jay Pantone},
  journal= {arXiv preprint arXiv:2103.06918},
  year   = {2022}
}
R2 v1 2026-06-24T00:01:35.878Z