Intrinsically triple-linked graphs in ℝP3

Federman, Jared; Foisy, Joel; McNamara, Kristin; Stark, Emily

doi:10.2140/involve.2017.10.1

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-4184 (e-only)

ISSN: 1944-4176 (print)

Author Index

Coming Soon

Other MSP Journals

This article is available for purchase or by subscription. See below.

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

DOI: 10.2140/involve.2017.10.1

Abstract

Flapan, Naimi and Pommersheim (2001) showed that every spatial embedding of $K_{10}$ , the complete graph on ten vertices, contains a nonsplit three-component link; that is, $K_{10}$ is intrinsically triple-linked in $ℝ^{3}$ . The work of Bowlin and Foisy (2004) and Flapan, Foisy, Naimi, and Pommersheim (2001) extended the list of known intrinsically triple-linked graphs in $ℝ^{3}$ 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 $ℝ P^{3}$ , the graph $K_{10}$ is intrinsically triple-linked in $ℝ P^{3}$ .

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/involve

We have not been able to recognize your IP address 3.229.142.91 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

Keywords

intrinsically linked, graphs embedded in real projective space

Mathematical Subject Classification 2010

Primary: 57M27

Milestones

Received: 16 February 2009

Revised: 31 October 2015

Accepted: 31 December 2015

Published: 11 October 2016

Communicated by Kenneth S. Berenhaut

Authors

Jared Federman
Department of Mathematics SUNY Potsdam Potsdam, NY 13676 United States

Joel Foisy
Department of Mathematics SUNY Potsdam Potsdam, NY 13676 United States

Kristin McNamara
Department of Mathematics and Statistics James Madison University Harrisonburg, VA 22807 United States

Emily Stark
Department of Mathematics Pomona College Claremont, CA 91711 United States

Vol. 10, No. 1, 2017