Unlinked Embedded Graphs
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...
| Main Author: | |
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| Format: | Article |
| Published: |
2000
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| Online Access: | https://eprints.nottingham.ac.uk/13/ |
| _version_ | 1848790347454349312 |
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| author | Barrett, John W. |
| author_facet | Barrett, John W. |
| author_sort | Barrett, John W. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T18:11:10Z |
| format | Article |
| id | nottingham-13 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:10Z |
| publishDate | 2000 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-132020-05-04T20:32:53Z https://eprints.nottingham.ac.uk/13/ Unlinked Embedded Graphs Barrett, John W. 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. 2000 Article PeerReviewed Barrett, John W. (2000) Unlinked Embedded Graphs. |
| spellingShingle | Barrett, John W. Unlinked Embedded Graphs |
| title | Unlinked Embedded Graphs |
| title_full | Unlinked Embedded Graphs |
| title_fullStr | Unlinked Embedded Graphs |
| title_full_unstemmed | Unlinked Embedded Graphs |
| title_short | Unlinked Embedded Graphs |
| title_sort | unlinked embedded graphs |
| url | https://eprints.nottingham.ac.uk/13/ |