English

A Combinatorial Proof for 132-Avoiding Permutations with a Unique Longest Increasing Subsequence

Combinatorics 2023-03-07 v1

Abstract

We provide a simple injective proof that the number of 132-avoiding permutations with a unique longest increasing subsequence is at least as large as the number of 132-avoiding permutations without a unique longest increasing subsequence.

Keywords

Cite

@article{arxiv.2303.02808,
  title  = {A Combinatorial Proof for 132-Avoiding Permutations with a Unique Longest Increasing Subsequence},
  author = {Nicholas Van Nimwegen},
  journal= {arXiv preprint arXiv:2303.02808},
  year   = {2023}
}

Comments

4 Pages

R2 v1 2026-06-28T09:02:28.148Z