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Article Dans Une Revue European Journal of Combinatorics Année : 2021

Bijective link between Chapoton's new intervals and bipartite planar maps

Wenjie Fang

Résumé

In 2006, Chapoton defined a class of Tamari intervals called "new intervals" in his enumeration of Tamari intervals, and he found that these new intervals are equi-enumerated with bipartite planar maps. We present here a direct bijection between these two classes of objects using a new object called "degree tree". Our bijection also gives an intuitive proof of an unpublished equi-distribution result of some statistics on new intervals given by Chapoton and Fusy.This is a work qualifying for _Recherche En Esprit Libre_, i.e., not funded by any funding with a prescribed direction of research.
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hal-02440918 , version 1 (16-06-2023)

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Paternité - Pas d'utilisation commerciale

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Wenjie Fang. Bijective link between Chapoton's new intervals and bipartite planar maps. European Journal of Combinatorics, 2021, ⟨10.1016/j.ejc.2021.103382⟩. ⟨hal-02440918⟩
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