2 citations · 3 across the 3 of their papers we have counts for
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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…
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…
Blossoming bijection for higher-genus maps
Mathias Lepoutre
In 1997, Schaeffer described a bijection between Eulerian planar maps and some trees. In this work we generalize his work to a bijection between bicolorable maps on a surface of an…
Bijections for Weyl Chamber walks ending on an axis, using arc diagrams and Schnyder woods
Julien Courtiel, Éric Fusy, Mathias Lepoutre +1
In the study of lattice walks there are several examples of enumerative equivalences which amount to a trade-off between domain and endpoint constraints. We present a family of suc…