Non-ambiguous trees: new results and generalisation

Jean-Christophe Aval,Adrien Boussicault,Berenice Delcroix-Oger,Florent Hivert,Patxi Laborde-Zubieta

EUROPEAN JOURNAL OF COMBINATORICS（2015）

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摘要

We present a new definition of non-ambiguous trees (NATs) as labelled binary trees. We thus get a differential 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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关键词

trees,generalisation,non-ambiguous

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