Sur le nombre d'intervalles dans les treillis de Tamari

By Frédéric Chapoton. 2006

102 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Language and Linguistics

View Paper: https://www.semanticscholar.org/paper/1779a0043991a872febf9187a69c6282048cb3a9

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In Discrete Mathematics and Combinatorics

1. Louis-François Préville-Ratelle
2. François Bergeron
3. Jenny Wilson

In Language and Linguistics

1. Louis-François Préville-Ratelle
2. François Bergeron

Citations in the corpus

• Integral geometry of complex space forms (2012, unknown): “Chapoton [22], the series appearing in (7.”
• Higher Trivariate Diagonal Harmonics via generalized Tamari Posets (2011, background): “In view of (16), this suggested that we have the following generalization of a formula of Chapoton (see [7], in the case r = 1) for the number of intervals in the r-Tamari poset: ∑”