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Unlinked Embedded Graphs

Barrett, John W.

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Professor of Mathematical Physics


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.


Barrett, J. W. (2000). 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


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