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arXiv · 1009.4774

Balanced binary trees in the Tamari lattice

Samuele Giraudo
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Abstract

We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T0, T1] where T0 and T1 are balanced trees are isomorphic as posets to a hypercube. We introduce tree patterns and synchronous grammars to get a functional equation of the generating series enumerating balanced tree intervals.

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Samuele Giraudo. 2010-09-24. Balanced binary trees in the Tamari lattice. https://arxiv.org/abs/1009.4774

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