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A bijection for nonorientable general maps.
- Source :
- Annales de l'Institut Henri Poincaré D; 2022, Vol. 9 Issue 4, p733-791, 59p
- Publication Year :
- 2022
-
Abstract
- We give a different presentation of a recent bijection due to Chapuy and Dolega 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERALIZATION
PROBABILITY theory
MATHEMATICS theorems
HOMEOMORPHISMS
INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 23085827
- Volume :
- 9
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Annales de l'Institut Henri Poincaré D
- Publication Type :
- Academic Journal
- Accession number :
- 161257534
- Full Text :
- https://doi.org/10.4171/AIHPD/153