Geodesic
A bijection for nonorientable general maps
Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 4, pp. 733-791.

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We give a different presentation of a recent bijection due to Chapuy and Dołęga for nonorientable bipartite quadrangulations and we extend it to the case of nonorientable general maps. This can be seen as a Bouttier–Di Francesco–Guitter-like generalization of the Cori–Vauquelin–Schaeffer bijection in the context of general nonorientable surfaces. In the particular case of triangulations, the encoding objects take a particularly simple form and this allows us to recover a famous asymptotic enumeration formula found by Gao.

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Publié le :
DOI : 10.4171/aihpd/153
Classification : 05-XX
Keywords: map, graph, bijection, nonorientable surface, triangulation, Brownian surface 
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Bettinelli, Jeremie. A bijection for nonorientable general maps. Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 4, pp. 733-791. doi : 10.4171/aihpd/153. http://geodesic.mathdoc.fr/articles/10.4171/aihpd/153/

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