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Intrinsically
triple-linked graphs in $\mathbb{R}P^3$
Jared Federman, Joel Foisy, Kristin McNamara and Emily Stark
Vol. 10 (2017), No. 1, 1–20
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Abstract |
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Flapan, Naimi and Pommersheim (2001) showed that every spatial embedding of , the complete graph on ten vertices, contains a nonsplit three-component link; that is, is intrinsically triple-linked in . The work of Bowlin and Foisy (2004) and Flapan, Foisy, Naimi, and Pommersheim (2001) extended the list of known intrinsically triple-linked graphs in to include several other families of graphs. In this paper, we will show that while some of these graphs can be embedded 3-linklessly in , the graph is intrinsically triple-linked in . |
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Keywords
intrinsically linked, graphs embedded in real projective
space
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Mathematical Subject Classification 2010
Primary: 57M27
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Milestones
Received: 16 February 2009
Revised: 31 October 2015
Accepted: 31 December 2015
Published: 11 October 2016
Communicated by Kenneth S. Berenhaut
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Authors |
| Jared Federman | |
| Department of Mathematics SUNY Potsdam Potsdam, NY 13676 United States |
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| Joel Foisy | |
| Department of Mathematics SUNY Potsdam Potsdam, NY 13676 United States |
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| Kristin McNamara | |
| Department of Mathematics and
Statistics James Madison University Harrisonburg, VA 22807 United States |
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| Emily Stark | |
| Department of Mathematics Pomona College Claremont, CA 91711 United States |
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