## Abstract In 1983, Conway and Gordon [J Graph Theory 7 (1983), 445โ453] showed that every (tame) spatial embedding of __K__~7~, the complete graph on 7 vertices, contains a knotted cycle. In this paper, we adapt the methods of Conway and Gordon to show that __K__~3,3,1,1~ contains a knotted cycle
More intrinsically knotted graphs
โ Scribed by Joel Foisy
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 197 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
We demonstrate four intrinsically knotted graphs that do not contain each other, nor any previously known intrinsically knotted graph, as a minor. ยฉ 2006 Wiley Periodicals, Inc. J Graph Theory 54: 115โ124, 2007
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