Volume 9, issue 3 (2009)

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

Volume 23
Issue 9, 3909–4400
Issue 8, 3417–3908
Issue 7, 2925–3415
Issue 6, 2415–2924
Issue 5, 1935–2414
Issue 4, 1463–1934
Issue 3, 963–1462
Issue 2, 509–962
Issue 1, 1–508

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
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Intrinsically linked graphs in projective space

Jason Bustamante, Jared Federman, Joel Foisy, Kenji Kozai, Kevin Matthews, Kristin McNamara, Emily Stark and Kirsten Trickey

Algebraic & Geometric Topology 9 (2009) 1255–1274
Bibliography
1 D Archdeacon, A Kuratowski theorem for the projective plane, J. Graph Theory 5 (1981) 243 MR625065
2 A Brouwer, R Davis, A Larkin, D Studenmund, C Tucker, Intrinsically $S^1$ $3$–linked graphs and other aspects of $S^1$ embeddings, Rose-Hulman Undergrad. Math. J. 8 (2007)
3 J H Conway, C M Gordon, Knots and links in spatial graphs, J. Graph Theory 7 (1983) 445 MR722061
4 Y V Drobotukhina, An analogue of the Jones polynomial for links in $\mathbf{R}\mathrm{P}^3$ and a generalization of the Kauffman–Murasugi theorem, Algebra i Analiz 2 (1990) 171 MR1073213
5 E Flapan, H Howards, D Lawrence, B Mellor, Intrinsic linking and knotting of graphs in arbitrary $3$–manifolds, Algebr. Geom. Topol. 6 (2006) 1025 MR2240923
6 H H Glover, J P Huneke, C S Wang, 103 graphs that are irreducible for the projective plane, J. Combin. Theory Ser. B 27 (1979) 332 MR554298
7 V Manturov, Knot theory, Chapman & Hall/CRC (2004) MR2068425
8 R Motwani, A Raghunathan, H Saran, Constructive results from graph minors: linkless embeddings, from: "29th Annual Symposium on Foundations of Computer Science", IEEE Computer Soc. (1988) 398
9 M Mroczkowski, Diagrammatic unknotting of knots and links in the projective space, J. Knot Theory Ramifications 12 (2003) 637 MR1999636
10 J Nešetřil, R Thomas, A note on spatial representation of graphs, Comment. Math. Univ. Carolin. 26 (1985) 655 MR831801
11 D O’Donnol, Intrinsically $n$–linked complete bipartite graphs, J. Knot Theory Ramifications 17 (2008) 133 MR2398729
12 M Ozawa, Y Tsutsumi, Primitive spatial graphs and graph minors, Rev. Mat. Complut. 20 (2007) 391 MR2351115
13 N Robertson, P Seymour, Graph minors. XX. Wagner's conjecture, J. Combin. Theory Ser. B 92 (2004) 325 MR2099147
14 N Robertson, P Seymour, R Thomas, Sachs' linkless embedding conjecture, J. Combin. Theory Ser. B 64 (1995) 185 MR1339849
15 H Sachs, On spatial representations of finite graphs, from: "Finite and infinite sets, Vol. I, II (Eger, 1981)" (editors A Hajnal, L Lovász, V T Sós), Colloq. Math. Soc. János Bolyai 37, North-Holland (1984) 649 MR818267