Rotation Systems and Simple Drawings in Surfaces
Copyright policy )Rotation Systems and Simple Drawings in Surfaces
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 $\Sigma$, there is a rotation system that does not arise from a simple drawing in $\Sigma$.
- Graz University of Technology Austria
- TECHNISCHE UNIVERSITAET GRAZ Austria
- University of Hagen Germany
- Autonomous University of San Luis Potosí Mexico
Mathematics - Geometric Topology, Graph representations (geometric and intersection representations, etc.), FOS: Mathematics, Mathematics - Combinatorics, Geometric Topology (math.GT), 05C10 (Primary), Combinatorics (math.CO), drawing of a graph in an orientable surface, rotation
Mathematics - Geometric Topology, Graph representations (geometric and intersection representations, etc.), FOS: Mathematics, Mathematics - Combinatorics, Geometric Topology (math.GT), 05C10 (Primary), Combinatorics (math.CO), drawing of a graph in an orientable surface, rotation
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