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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2020

Non-ambiguous trees: new results and generalization

Abstract

We present a new definition of non-ambiguous trees (NATs) as labelled binary trees. We thus get a differ- ential equation whose solution can be described combinatorially. This yield a new formula for the number of NATs. We also obtain q-versions of our formula. And we generalize NATs to higher dimension.
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hal-02173753 , version 1 (04-07-2019)

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Jean-Christophe Aval, Adrien Boussicault, Bérénice Delcroix-Oger, Florent Hivert, Patxi Laborde-Zubieta. Non-ambiguous trees: new results and generalization. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6414⟩. ⟨hal-02173753⟩
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