Using large random permutations to partition permutation classes

Bean, Christian; Nadeau, Emile; Pantone, Jay; Ulfarsson, Henning

Abstract

<jats:title>Abstract</jats:title> <jats:p>Permutation classes are sets of permutations defined by the absence of certain substructures. In some cases permutation classes can be decomposed as unions of subclasses. We use combinatorial specifications automatically discovered by <jats:italic>Combinatorial Exploration: An algorithmic framework for enumeration</jats:italic>, Albert et al. 2022, to uniformly generate large random permutations in a permutation class, and apply clustering methods to partition them into interesting subclasses. We seek to automate as much of this process as possible.</jats:p>

Citation

Bean, C., Nadeau, E., Pantone, J., & Ulfarsson, H. (2022). Using large random permutations to partition permutation classes. https://doi.org/10.2478/puma-2022-0006

• Acceptance Date: May 15, 2022
• Online Publication Date: Jun 18, 2022
• Publication Date: Jun 1, 2022
• Journal: Pure Mathematics and Applications
• Pages: 31 - 36
• DOI: https://doi.org/10.2478/puma-2022-0006
• Publisher URL: https://sciendo.com/article/10.2478/puma-2022-0006