A bijection for nonorientable general maps

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...

Full description

Saved in:

Bibliographic Details
Published in:	Discrete mathematics and theoretical computer science Vol. DMTCS Proceedings, 28th...
Main Author:	Bettinelli, Jérémie
Format:	Journal Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 22.04.2020
Subjects:	[math.math-co]mathematics [math]/combinatorics [math.co]
ISSN:	1365-8050, 1365-8050
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
ISSN:	1365-8050 1365-8050
DOI:	10.46298/dmtcs.6398