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A simple formula for the series of bipartite and quasi-bipartite maps with boundaries
| Content Provider | Semantic Scholar |
|---|---|
| Author | Collet, Gwendal Fusy, Éric |
| Copyright Year | 2012 |
| Abstract | We obtain a very simple formula for the generating function of bipartite (resp. quasi-bipartite) planar maps with boundaries (holes) of prescribed lengths, which generalizes certain expressions obtained by Eynard in a book to appear. The formula is derived from a bijection due to Bouttier, Di Francesco and Guitter combined with a process (reminiscent of a construction of Pitman) of aggregating connected components of a forest into a single tree. R´ |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.dmtcs.org/pdfpapers/dmAR0154.pdf |
| Alternate Webpage(s) | http://www.lix.polytechnique.fr/~fusy/Articles/ColletFusy.pdf |
| Alternate Webpage(s) | http://www.math.nagoya-u.ac.jp/fpsac12/download/contributed/dmAR0154.pdf |
| Alternate Webpage(s) | http://www.lix.polytechnique.fr/Labo/Eric.Fusy/Articles/ColletFusy.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |