Algorithmic coincidence classification of mesh patterns

Christian Bean, Bjarki Gudmundsson, Tomas Ken Magnusson, Henning Ulfarsson

Published 2019-10-17Version 1

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.