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...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2020-04-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/6398/pdf |
| _version_ | 1827323967336087552 |
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| author | Jérémie Bettinelli |
| author_facet | Jérémie Bettinelli |
| author_sort | Jérémie Bettinelli |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-25T02:01:10Z |
| format | Article |
| id | doaj.art-df10501aefb645b7b56aa7e7cdb2a3db |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:01:10Z |
| publishDate | 2020-04-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-df10501aefb645b7b56aa7e7cdb2a3db2024-03-07T14:55:20ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502020-04-01DMTCS Proceedings, 28th...10.46298/dmtcs.63986398A bijection for nonorientable general mapsJérémie BettinelliWe 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.https://dmtcs.episciences.org/6398/pdf[math.math-co]mathematics [math]/combinatorics [math.co] |
| spellingShingle | Jérémie Bettinelli A bijection for nonorientable general maps Discrete Mathematics & Theoretical Computer Science [math.math-co]mathematics [math]/combinatorics [math.co] |
| title | A bijection for nonorientable general maps |
| title_full | A bijection for nonorientable general maps |
| title_fullStr | A bijection for nonorientable general maps |
| title_full_unstemmed | A bijection for nonorientable general maps |
| title_short | A bijection for nonorientable general maps |
| title_sort | bijection for nonorientable general maps |
| topic | [math.math-co]mathematics [math]/combinatorics [math.co] |
| url | https://dmtcs.episciences.org/6398/pdf |
| work_keys_str_mv | AT jeremiebettinelli abijectionfornonorientablegeneralmaps AT jeremiebettinelli bijectionfornonorientablegeneralmaps |