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math.CO2022
Enumeration of rooted 3-connected bipartite planar maps
Marc Noy, Clément Requilé, Juanjo Rué
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…
math.CO2022
Enumeration of chordal planar graphs and maps
Jordi Castellví, Marc Noy, Clément Requilé
We determine the number of labelled chordal planar graphs with vertices, which is asymptotically for a constant and . We a…