Ribbon Graphs and Belyi Pairs with Partially Prescribed Branching

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 t...

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics 2023-03, Vol.320 (1), p.161-171
Main Authors: Kulikov, Vik. S., Shabat, G. B.
Format: Article
Language:English
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Summary: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.
ISSN:0081-5438
1531-8605
DOI:10.1134/S008154382301008X