There exist no Minimally Knotted Planar Spatial Graphs on the Torus
Geometric Topology
2019-05-06 v3
Abstract
We show that all nontrivial embeddings of planar graphs on the torus contain a nontrivial knot or a nonsplit link. This is equivalent to showing that no minimally knotted planar spatial graphs on the torus exist that contain neither a nontrivial knot nor a nonsplit link all of whose components are unknots.
Keywords
Cite
@article{arxiv.1411.7734,
title = {There exist no Minimally Knotted Planar Spatial Graphs on the Torus},
author = {Senja Barthel},
journal= {arXiv preprint arXiv:1411.7734},
year = {2019}
}
Comments
4 pages, 1 figure