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Lookup NU author(s): Dr Alina Vdovina
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It is shown that the number of alternating knots of given genus g>1 grows as a polynomial of degree 6g-4 in the crossing number. The leading coefficient of the polynomial, which depends on the parity of the crossing number, is related to planar trivalent graphs with a Bieulerian path. The rate of growth of the number of such graphs is estimated. © Springer-Verlag 2005.
Author(s): Stoimenow A, Vdovina A
Publication type: Article
Publication status: Published
Journal: Mathematische Annalen
Year: 2005
Volume: 333
Issue: 1
Pages: 1-27
ISSN (print): 0025-5831
ISSN (electronic): 1432-1807
Publisher: Springer
URL: http://dx.doi.org/10.1007/s00208-005-0659-x
DOI: 10.1007/s00208-005-0659-x
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