Rotation systems and simple drawings in surfaces
Geometric Topology
2022-07-04 v1 Combinatorics
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 .
Cite
@article{arxiv.2207.00312,
title = {Rotation systems and simple drawings in surfaces},
author = {Rosna Paul and Gelasio Salazar and Alexandra Weinberger},
journal= {arXiv preprint arXiv:2207.00312},
year = {2022}
}
Comments
19 pages, 14 figures, Submitted to the Electronic Journal of Combinatorics