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math.COFeb 17, 2006
52
citations (OpenAlex)
authors
  • Frédéric Chapoton
institutions
  • Institut Camille Jordan
  • International Center for Transitional Justice
arXiv abstractPDF
paper

Sur le nombre d'intervalles dans les treillis de Tamari

arXiv:math/0602368

Abstract

We enumerate the intervals in the Tamari lattices. For this, we introduce an inductive description of the intervals. Then a notion of "new interval" is defined and these are also enumerated. A a side result, the inverse of two special series is computed in a group of tree-indexed series.

17 pages, 5 figures

References in corpus (1)

  • A rigidity theorem for preLie algebras

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  • Tamari lattices and parking functions: proof of a conjecture of F. Bergeron
  • A partial order on Motzkin paths
  • Generalizations of the associative operad and convergent rewrite systems
  • Some dendriform functors
  • Quotients of the magmatic operad: lattice structures and convergent rewrite systems
  • Maximal degree subposets of ν-Tamari lattices
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