An analogue of the plactic monoid for binary search trees
Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon
Abstract
We introduce a monoid structure on a certain set of labelled binary trees, by a process similar to the construction of the plactic monoid. This leads to a new interpretation of the algebra of planar binary trees of Loday-Ronco.
Create a lesson
Related papers
Counting with Hiccup Sequences
Benoit Cloitre
Degree similar and net-degree similar signed graphs
Matteo Cavaleri, Alfredo Donno
Clique and chromatic numbers of graph powers: spectral bounds and anticodes
Aida Abiad, Gabriel Coutinho, Hitesh Kumar et al.
Counting cographs in locally dense graphs
Hyunwoo Lee
Two-orbit right-angled Polytopes and Hypertopes
Claudio Alexandre Piedade, Philippe Tranchida
On the failure of additivity of inversion numbers for dijoins
Natalie Behague, Jack Cromwell