Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2007; 44(3): 661-671

Printed May 1, 2007

Copyright © The Korean Mathematical Society.

Knots and links in linear embeddings of $K_6$

Youngsik Huh and Choon Bae Jeon

Hanyang University, Hanyang University

Abstract

Go to

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.

Keywords: trefoil knot, Hopf link, complete graph, linear embedding

MSC numbers: Primary 57M25; Secondary 57M15, 05C10

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +