English

Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration

Combinatorics 2014-09-15 v3

Abstract

We consider the enumeration of pattern-avoiding involutions, focusing in particular on sets defined by avoiding a single pattern of length 4. As we demonstrate, the numerical data for these problems demonstrates some surprising behavior. This strange behavior even provides some very unexpected data related to the number of 1324-avoiding permutations.

Keywords

Cite

@article{arxiv.1310.7003,
  title  = {Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration},
  author = {Miklós Bóna and Cheyne Homberger and Jay Pantone and Vincent Vatter},
  journal= {arXiv preprint arXiv:1310.7003},
  year   = {2014}
}
R2 v1 2026-06-22T01:54:23.342Z