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The Structure and Enumeration of Link Projections |
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| Authors: | Martin Bridgeman |
| Institution: | Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720 |
| Abstract: | We define a decomposition of link projections whose pieces we call atoroidal graphs. We describe a surgery operation on these graphs and show that all atoroidal graphs can be generated by performing surgery repeatedly on a family of well-known link projections. This gives a method of enumerating atoroidal graphs and hence link projections by recomposing the pieces of the decomposition. |
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