Geodesic
Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching
Informatics and Automation, Algebra and Arithmetic, Algebraic, and Complex Geometry, Tome 320 (2023), pp. 177-188.

Voir la notice de l'article provenant de la source Math-Net.Ru

Given a ribbon graph of arbitrary genus, we construct a spherical graph with the same two columns of the passport. And given a spherical graph, we present an algorithm for constructing a graph with the two columns of the same passport and any admissible genus. We also discuss possible applications to the theory of dessins d'enfants.
Mots-clés : Belyi pairs, ribbon graphs, monodromy. 
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Vik. S. Kulikov; G. B. Shabat. Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching. Informatics and Automation, Algebra and Arithmetic, Algebraic, and Complex Geometry, Tome 320 (2023), pp. 177-188. https://geodesic-test.mathdoc.fr/item/TRSPY_2023_320_a7/

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