Geodesic
Non-ambiguous trees: new results and generalization
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020).

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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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     author = {Aval, Jean-Christophe and Boussicault, Adrien and Delcroix-Oger, B\'er\'enice and Hivert, Florent and Laborde-Zubieta, Patxi},
     title = {Non-ambiguous trees: new results and generalization},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)},
     year = {2020},
     doi = {10.46298/dmtcs.6414},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6414/}
}
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%A Boussicault, Adrien
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Aval, Jean-Christophe; Boussicault, Adrien; Delcroix-Oger, Bérénice; Hivert, Florent; Laborde-Zubieta, Patxi. Non-ambiguous trees: new results and generalization. Discrete mathematics & theoretical computer science, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016), DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) (2020). doi : 10.46298/dmtcs.6414. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6414/

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