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.
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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}
}