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arXiv · 1512.02208

A bijection for nonorientable general maps

Jérémie Bettinelli
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Abstract

We give a different presentation of a recent bijection due to Chapuy and Dolęga 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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Jérémie Bettinelli. 2022-11-03. A bijection for nonorientable general maps. https://arxiv.org/abs/1512.02208

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