Rotation systems and simple drawings in surfaces Article uri icon

abstract

  • Every simple drawing of a graph in the plane naturally induces a rotation system, but it is easy to exhibit a rotation system that does not arise from a simple drawing in the plane. We extend this to all surfaces: for every fixed surface ∑, there is a rotation system that does not arise from a simple drawing in ∑.

publication date

  • 2024-01-01