English

Algorithmic coincidence classification of mesh patterns

Combinatorics 2019-10-22 v2 Discrete Mathematics

Abstract

We review and extend previous results on coincidence of mesh patterns. We introduce the notion of a force on a permutation pattern and apply it to the coincidence classification of mesh patterns, completing the classification up to size three. We also show that this concept can be used to enumerate classical permutation classes.

Keywords

Cite

@article{arxiv.1910.08127,
  title  = {Algorithmic coincidence classification of mesh patterns},
  author = {Christian Bean and Bjarki Gudmundsson and Tomas Ken Magnusson and Henning Ulfarsson},
  journal= {arXiv preprint arXiv:1910.08127},
  year   = {2019}
}

Comments

26 pages

R2 v1 2026-06-23T11:47:11.754Z