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HARD UNKNOTS AND COLLAPSING TANGLES

    https://doi.org/10.1142/9789814313001_0009Cited by:10 (Source: Crossref)
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    Abstract:

    The following sections are included:

    • Introduction

    • The Culprit

    • Rational Tangles, Rational Knots and Continued Fractions

      • The Tangle Fraction

      • Rational Knots and Continued Fractions

    • The Return of the Culprit

    • Collapsing to Unknots and Unlinks

    • Continued Fractions, Convergents and Lots of Unknots

    • Constructing Hard Unknots

    • The Smallest Hard Unknots

    • The Goeritz Unknot

    • Recalcitrance Revisited

    • Collapsing to Knots and Links

    • Stability in Processive DNA Recombination

    • Afterthoughts - Farey Series, Continued Fractions, Pick's Theorem and Ford Circles

      • Farey Series and Continued Fractions

      • Pick's Theorem

      • Ford Circles

    • References