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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the unknotting number of minimal diagrams


Author: A. Stoimenow
Journal: Math. Comp. 72 (2003), 2043-2057
MSC (2000): Primary 57M25
Published electronically: March 26, 2003
MathSciNet review: 1986820
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Abstract: Answering negatively a question of Bleiler, we give examples of knots where the difference between minimal and maximal unknotting number of minimal crossing number diagrams grows beyond any extent.


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Additional Information

A. Stoimenow
Affiliation: Department of Mathematics, University of Toronto, Ontario Canada M5S 3G3
Email: stoimeno@math.toronto.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-03-01514-X
PII: S 0025-5718(03)01514-X
Keywords: Kauffman polynomial, HOMFLY polynomial, crossing number, homogeneous braid, unknotting number
Received by editor(s): June 6, 2000
Received by editor(s) in revised form: March 8, 2002
Published electronically: March 26, 2003
Additional Notes: The author was supported by a DFG grant.
Article copyright: © Copyright 2003 American Mathematical Society