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math.CO2020★ 1 cited
Combinatorial proof for the rationality of the bivariate generating series of maps in positive genus
Marie Albenque, Mathias Lepoutre
In this paper, we give the first combinatorial proof of a rationality scheme for the generating series of maps in positive genus enumerated by both vertices and faces, which was fi…
math.CO2020★ 2 cited
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface
Maciej Dołęga, Mathias Lepoutre
We construct an explicit bijection between bipartite pointed maps of an arbitrary surface , and specific unicellular blossoming maps of the same surface. Our bijection…