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An analogue of the plactic monoid for binary search trees

Florent Hivert·Jean-Christophe Novelli·Jean-Yves Thibon
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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.

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Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon. 2002-06-24. An analogue of the plactic monoid for binary search trees. https://arxiv.org/abs/math/0206246

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