I'm currently collecting ways how to relate bicubic graphs on orientable surrfaces with Riemann Surfaces. So far I got the following:
- Grothendieck's Dessin D'Enfants
- Makover's Approach
- Hurwitz's Way
- Nieser's Method
- a relation to knots
What other constructions to relate bicubic graphs with Riemann Surfaces are known?
Any idea with reference welcome...