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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Structure and Enumeration of
Link Projections


Author: Martin Bridgeman
Journal: Trans. Amer. Math. Soc. 348 (1996), 2235-2248
MSC (1991): Primary 57M25, 57M15, 05C30, 05C85; Secondary 53A35
MathSciNet review: 1321569
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Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

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Additional Information

Martin Bridgeman
Affiliation: Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720
Address at time of publication: Department of Mathematics, Loyola University, New Orleans, Louisiana 70118
Email: bridgemn@beta.loyno.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-96-01484-5
PII: S 0002-9947(96)01484-5
Received by editor(s): October 15, 1994
Additional Notes: Research at MSRI is supported in part by NSF grant no. DMS-9022140
Article copyright: © Copyright 1996 American Mathematical Society