Heptagonal knots and Radon partitions
Geometric Topology
2010-07-07 v1
Abstract
We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The condition is described by a set of Radon partitions formed by vertices of the heptagon. In addition we relate this result to the number of nontrivial heptagonal knots in linear embeddings of the complete graph into .
Keywords
Cite
@article{arxiv.1007.0841,
title = {Heptagonal knots and Radon partitions},
author = {Youngsik Huh},
journal= {arXiv preprint arXiv:1007.0841},
year = {2010}
}