A bijection for nonorientable general maps

Jérémie Bettinelli (1)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

We give a different presentation of a recent bijection due to Chapuy and Dołe ̨ga 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 nonori- entable surfaces. In the particular case of triangulations, the encoding objects take a particularly simple form and we recover a famous asymptotic enumeration formula found by Gao.

Domaines: Combinatoire [math.CO]

Jérémie Bettinelli. A bijection for nonorientable general maps. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6398⟩. ⟨hal-02173739v1⟩