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Unknotting number and knot diagram.

Yasutaka Nakanishi — 1996

Revista Matemática de la Universidad Complutense de Madrid

This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.

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