Volume 15, issue 6 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Exactly fourteen intrinsically knotted graphs have $21$ edges

Minjung Lee, Hyoungjun Kim, Hwa Jeong Lee and Seungsang Oh

Algebraic & Geometric Topology 15 (2015) 3305–3322
Bibliography
1 P Blain, G Bowlin, T Fleming, J Foisy, J Hendricks, J Lacombe, Some results on intrinsically knotted graphs, J. Knot Theory Ramifications 16 (2007) 749 MR2341314
2 J H Conway, C M Gordon, Knots and links in spatial graphs, J. Graph Theory 7 (1983) 445 MR722061
3 N Goldberg, T W Mattman, R Naimi, Many, many more intrinsically knotted graphs, Algebr. Geom. Topol. 14 (2014) 1801 MR3212585
4 R Hanaki, R Nikkuni, K Taniyama, A Yamazaki, On intrinsically knotted or completely $3$–linked graphs, Pacific J. Math. 252 (2011) 407 MR2860431
5 B Johnson, M E Kidwell, T S Michael, Intrinsically knotted graphs have at least $21$ edges, J. Knot Theory Ramifications 19 (2010) 1423 MR2746195
6 T Kohara, S Suzuki, Some remarks on knots and links in spatial graphs, from: "Knots 90" (editor A Kawauchi), de Gruyter (1992) 435 MR1177440
7 R Motwani, A Raghunathan, H Saran, Constructive results from graph minors: Linkless embeddings, from: "Proc. $29^{\mathrm{th}}$ annual symposium on foundations of computer science", IEEE (1988) 398
8 M Ozawa, Y Tsutsumi, Primitive spatial graphs and graph minors, Rev. Mat. Complut. 20 (2007) 391 MR2351115
9 N Robertson, P D Seymour, Graph minors, XX: Wagner's conjecture, J. Combin. Theory Ser. B 92 (2004) 325 MR2099147