Topology Atlas | Conferences

Knots in Washington XVI; Conference on Knot Theory and its Ramifications
May 5-7, 2003
University of Maryland
College Park, MD, USA

Organizers
Marta M. Asaeda (UMD), William M. Goldman (UMD), John J. Millson (UMD), Jozef H. Przytycki (GWU)

Conference Homepage


Links in spatial embeddings of graphs
by
Brenda Johnson
Johns Hopkins University/ Union College

In 1983, Horst Sachs, John Conway, and Cameron Gordon proved that K_6, the complete graph on 6 vertices, is intrinsically linked, i.e., any spatial embedding of K_6 contains a non-trivial link. Sachs made a conjecture about the collection of all intrinsically linked graphs that was later proved by N. Robertson, P.D. Seymour, and R. Thomas. After describing the theorems of Sachs, Conway-Gordon, and Robertson-Seymour-Thomas, I will give a (partial) survey of questions and results inspired by their work.

Date received: May 2, 2003

Copyright © 2003 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # calc-17.