Jay Pantone

Assistant Professor
Marquette University


Completing the Structural Analysis of the 2x4 Permutation Classes

with Samuel Miner

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 Gröbner basis calculations.


We thank Michael Albert for his open-source software PermLab, which was a useful aide in this research.