dessin_enfant

# Dessin d'enfant

Graph on a surface encoding information for a covering

Dessin d'enfant

Dessins d'enfant, “childrens drawings” in French, are graphs on surfaces with vertices colored alternately black and white.. They appear at the crossroad of complex geometry, combinatorics and Galois theory.

## Material

A wonderful book on graphs on surfaces:

• Sergei Lando and Alexander Zvonkin: Graphs on Surfaces and Their Applications, Chapter 2, ISBN 978-3-540-00203-1, Google books
• Belyi function
• Riemann surface
• absolut Galois group