• Corpus ID: 14156251

Balanced binary trees in the Tamari lattice

  title={Balanced binary trees in the Tamari lattice},
  author={Samuele Giraudo},
  journal={Discrete Mathematics \& Theoretical Computer Science},
  • Samuele Giraudo
  • Published 24 September 2010
  • Computer Science, Mathematics
  • Discrete Mathematics & Theoretical Computer Science
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. R´ 

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