Knots and links in linear embeddings of K6

被引：14

作者：

Huh, Youngsik ^{[1
]}

Jeon, Choon Bae

机构：

[1] Hanyang Univ, Sch Nat Sci, Dept Math, Seoul 133791, South Korea

[2] Daeduk Coll, Taejon 305715, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 03期

关键词：

trefoil knot; Hopf link; complete graph; linear embedding;

D O I：

10.4134/JKMS.2007.44.3.661

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：661 / 671

页数：11

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