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Knots and links in linear embeddings of K-6open access

Authors
Huh, YoungsikJeon, Choon Bae
Issue Date
May-2007
Publisher
KOREAN MATHEMATICAL SOCIETY
Keywords
trefoil knot; Hopf link; complete graph; linear embedding
Citation
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.44, no.3, pp.661 - 671
Indexed
SCIE
SCOPUS
KCI
Journal Title
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
Volume
44
Number
3
Start Page
661
End Page
671
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/180169
DOI
10.4134/JKMS.2007.44.3.661
ISSN
0304-9914
Abstract
We investigate the number of knots and links in linear embeddings of K-6, the complete graph with 6 vertices. Concretely, we show that any linear embedding of K-6 contains either only one Hopf link, or three Hopf links and one trefoil knot.
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