Enumeration of rooted 3-connected bipartite planar maps

We provide the first solution to the problem of counting rooted 3-connected bipartite planar maps. Our starting point is the enumeration of bicoloured planar maps according to the number of edges and monochromatic edges, following Bernardi and Bousquet-Mélou [J. Comb. Theory Ser. B, 101 (2011), 315–...

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Bibliographic Details
Main Authors: Noy, Marc, Requilé, Clément, Rué, Juanjo
Format: Article
Language:English
Published: Académie des sciences 2024-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.548/
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