Linear embeddings of $K_9$ are triple linked
Geometric Topology
2015-03-13 v4 Combinatorics
Abstract
We use the theory of oriented matroids to show that any linear embedding of , the complete graph on nine vertices, contains a non-split link with three components.
Keywords
Cite
@article{arxiv.1202.1613,
title = {Linear embeddings of $K_9$ are triple linked},
author = {Ramin Naimi and Elena Pavelescu},
journal= {arXiv preprint arXiv:1202.1613},
year = {2015}
}
Comments
7 pages, 1 figure. An updated Mathematica program and five files containing evidence that the program works correctly are available as ancillary files associated with this article