A bijection for nonorientable general maps
Combinatorics
2022-11-04 v5 Probability
Abstract
We give a different presentation of a recent bijection due to Chapuy and Dol\k{e}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 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.
Cite
@article{arxiv.1512.02208,
title = {A bijection for nonorientable general maps},
author = {Jérémie Bettinelli},
journal= {arXiv preprint arXiv:1512.02208},
year = {2022}
}