Geodesic
The bipartite graphs of abelian dessins d'enfants
Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 301-304.

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Let S be a closed Riemann surface and let β: S →  ̂C be a regular branched holomorphic covering, with an abelian group as deck group, whose branch values are contained in the set {∞, 0, 1}. Three dessins d’enfants are provided by β − 1([0, 1]), β − 1([1, ∞]) and β − 1([0, ∞]). In this paper we provide a description of the bipartite graphs associated to these dessins d’enfants using simple arguments.
DOI : 10.26493/1855-3974.328.0b7
Keywords: Dessins d'enfants, Belyi curves, Algebraic curves, Riemann Surfaces 
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Rubén A. Hidalgo. The bipartite graphs of abelian dessins d'enfants. Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 301-304. doi : 10.26493/1855-3974.328.0b7. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.328.0b7/

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