Fibonacci numbers and the ``fibered'' Bleiler conjecture (Q2708378)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fibonacci numbers and the ``fibered'' Bleiler conjecture |
scientific article |
Statements
3 October 2001
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rational knots
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two-bridge knots
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unknotting number
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0.88470423
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0.8830767
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Fibonacci numbers and the ``fibered'' Bleiler conjecture (English)
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The author proves that a fibered 2-bridge knot of unknotting number~1 realizes its unknotting number in the diagram of all Conway coefficients even. For related work see \textit{K. Taniyama} [Math. Ann. 291, No. 4, 579-590 (1991; Zbl 0726.57009)], \textit{T. Kanenobu} and \textit{H. Murakami} [Proc. Am. Math. Soc. 98, 499-502 (1986; Zbl 0613.57002)].
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