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The Structure and Enumeration of Link Projections
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| Zeitschriftentitel: | Transactions of the American Mathematical Society |
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| Personen und Körperschaften: | |
| In: | Transactions of the American Mathematical Society, 348, 1996, 6, S. 2235-2248 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Mathematical Society (AMS)
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| Schlagwörter: |
| Zusammenfassung: | <p>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.</p> |
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| Umfang: | 2235-2248 |
| ISSN: |
0002-9947
1088-6850 |
| DOI: | 10.1090/s0002-9947-96-01484-5 |