Unlinked Embedded Graphs

Barrett, John W.

Abstract

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are computed. An unlinked embedded graph is one that contains only trivial knots or links. Examples show that the invariant is sufficiently powerful to distinguish some different unlinked embeddings of the same graph.

Citation

Barrett, J. W. Unlinked Embedded Graphs

• Journal Article Type: Article
• Publication Date: Jan 1, 2000
• Deposit Date: Jul 30, 2001
• Publicly Available Date: Oct 9, 2007
• Peer Reviewed: Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1023561