# Knots and links in spatial graphs

• Published in 1983
In the collections
The main purpose of this paper is to show that any embedding of $K_7$ in three‐dimensional euclidean space contains a knotted cycle. By a similar but simpler argument, it is also shown that any embedding of $K_6$ contains a pair of disjoint cycles which are homologically linked.

### BibTeX entry

@article{KnotsAndLinksInSpatialGraphs,
title = {Knots and links in spatial graphs},
author = {J. H. Conway and C. McA. Gordon},
url = {https://onlinelibrary.wiley.com/doi/epdf/10.1002/jgt.3190070410 http://people.reed.edu/{\~{}}ormsbyk/138/ConwayGordon.pdf},
urldate = {2020-04-12},
year = 1983,
abstract = {The main purpose of this paper is to show that any embedding of $K{\_}7$ in three‐dimensional euclidean space contains a knotted cycle. By a similar but simpler argument, it is also shown that any embedding of $K{\_}6$ contains a pair of disjoint cycles which are homologically linked.},
comment = {},
collections = {Easily explained,Fun maths facts,Geometry}
}