## Fibonacci numbers and the “fibered” Bleiler conjecture.(English)Zbl 0970.57003

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 K. Taniyama [Math. Ann. 291, No. 4, 579-590 (1991; Zbl 0726.57009)], T. Kanenobu and H. Murakami [Proc. Am. Math. Soc. 98, 499-502 (1986; Zbl 0613.57002)].

### MSC:

 57M25 Knots and links in the $$3$$-sphere (MSC2010)

### Keywords:

rational knots; two-bridge knots; unknotting number

### Citations:

Zbl 0613.57002; Zbl 0726.57009; Zbl 0739.57005
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