Unknotting and maximum unknotting numbers (Q2827431)

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scientific article; zbMATH DE number 6641126
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Unknotting and maximum unknotting numbers
scientific article; zbMATH DE number 6641126

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    Unknotting and maximum unknotting numbers (English)
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    19 October 2016
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    unknotting number
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    unlinking number
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    Conway notation
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    maximum unknotting number
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    Kauffman knot
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    super-Kauffman knot
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    Montesinos knot
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    Perko knot
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    Taniyama knot
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    Zeković knot
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    Perko pair
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    Exploring new ways to unknot knots (which they name after themselves), these authors make remarkable advances in an area long studied with less than fully satisfying results. Their imaginary manipulations of actual knots and links yield a lengthy table of new unknotting numbers [Appendix B]. They also provide an excellent explanation of Conway's notation, a brief discussion of Caudron's 1982 thesis (the 1989 version of which is now available on N. J. A. Sloane's OEIS website) and fresh depictions of the multiple writhes of the Perko pair knot.
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