Unlinked Embedded Graphs

Barrett, John W. (2000) Unlinked Embedded Graphs.

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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.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Gardner, Mike
Date Deposited: 30 Jul 2001
Last Modified: 22 Jun 2011 07:28
URI: http://eprints.nottingham.ac.uk/id/eprint/13

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