The Rise-Contact Involution on Tamari Intervals

  • Viviane Pons
DOI: https://doi.org/10.37236/7698

Abstract

We describe an involution on Tamari intervals and $m$-Tamari intervals. This involution switches two sets of statistics known as the "rises" and the "contacts" and so proves an open conjecture from Préville-Ratelle on intervals of the $m$-Tamari lattice.

Published
2019-05-21
Issue
Volume 26, Issue 2 (2019)
Article Number
P2.32