Knots and links in spatial graphs
- Published in 1983
- Added on
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.
Links
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} }