English

Completing the Structural Analysis of the 2x4 Permutation Classes

Combinatorics 2018-02-05 v1

Abstract

We study the structure and enumeration of the final two 2x4 permutation classes, completing a research program that has spanned almost two decades. For both classes, careful structural analysis produces a complicated functional equation. One of these equations is solved with the guess-and-check paradigm, while the other is solved with kernel method-like techniques and Gr\"obner basis calculations.

Keywords

Cite

@article{arxiv.1802.00483,
  title  = {Completing the Structural Analysis of the 2x4 Permutation Classes},
  author = {Samuel Miner and Jay Pantone},
  journal= {arXiv preprint arXiv:1802.00483},
  year   = {2018}
}
R2 v1 2026-06-23T00:08:07.328Z