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Knots in Washington XXV; Dedicated to Herbert Seifert on his 100 birthday; Conference on Knot Theory and its Ramifications
December 7-9, 2007
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Alexander Shumakovitch (GWU), Dan Silver (U. South Al.), Hao Wu (GWU)

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Intrinsically n-linked spatial graphs
by
Danielle O'Donnol
UCLA
Coauthors: G.C. Drummond-Cole (Stony Brook)

A graph G, is intrinsically linked if every embedding of G into R3 contains a nontrivial link. The study of intrinsically knotted and linked graphs is a recent area of knot theory. I will give a summary of the history of intrinsically linked graphs. A natural generalization of intrinsic linking is intrinsic n-linking. A graph G is intrinsically n-linked if every embedding of G into R3 contains a non-split n-component link. I will discuss some of my results about intrinsic n-linking in complete and complete bipartite graphs.

Date received: November 7, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavo-07.