Volume 9, issue 3 (2009)

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

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
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
Abstract

We examine graphs that contain a nontrivial link in every embedding into real projective space, using a weaker notion of unlink than was used in Flapan, et al [Algebr. Geom. Topol. 6 (2006) 1025–1035]. We call such graphs intrinsically linked in P3. We fully characterize such graphs with connectivity 0, 1 and 2. We also show that only one Petersen-family graph is intrinsically linked in P3 and prove that K7 minus any two edges is also minor-minimal intrinsically linked. In all, 597 graphs are shown to be minor-minimal intrinsically linked in P3.

Keywords
RP^3, projective, graph, link
Mathematical Subject Classification 2000
Primary: 05C10
Secondary: 57M15
References
Publication
Received: 2 September 2008
Revised: 4 April 2009
Accepted: 5 April 2009
Published: 1 July 2009
Authors
Jason Bustamante
Department of Mathematical Sciences
Montana Tech of The University of Montana
1300 West Park Street
Butte, MT 59701
USA
Jared Federman
Department of Mathematics
SUNY Potsdam
Potsdam, NY 13676
USA
Joel Foisy
Department of Mathematics
SUNY Potsdam
Potsdam, NY 13676
USA
http://www2.potsdam.edu/foisyjs/
Kenji Kozai
Department of Mathematics
Stanford University
450 Serra Mall
Building 380
Stanford, CA 94305
USA
http://math.stanford.edu/~kkozai/
Kevin Matthews
Department of Mathematics
SUNY Potsdam
Potsdam, NY 13676
USA
Kristin McNamara
Department of Mathematics and Statistics
James Madison University
305 Roop Hall MSC 1911
Harrisonburg, VA 22807
USA
Emily Stark
Department of Mathematics
Pomona College
610 North College Avenue
Claremont, CA 91711
USA
Kirsten Trickey
Department of Mathematics
Clarkson University
8 Clarkson Avenue
Potsdam, NY 13699
USA