Sur le nombre d'intervalles dans les treillis de Tamari

Details Sur le nombre d'intervalles dans les treillis de Tamari Sur le nombre d'intervalles dans les treillis de Tamari

2006-02-17

arxiv.org/abs/math/0602368v1

Seminaire Lotharingien de Combinatoire 55 (2006) B55f

Mathematics

Combinatorics

17 pages, 5 figures

Scientific paper

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.

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