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Linear Behavior of the Writhe Versus the Number of Crossings in Rational Knots and Links

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References

  1. K. Devlin, New Scientist, 40-42 (2001)

    Google Scholar 

  2. V. Katritch, J. Bednar, D. Michoud, R. G. Scharein, J. Dubochet, A. Stasiak, Nature 384 142-145 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  3. E. J. Janse van Rensburg, E. Orlandini, D. W. Sumners, M. C. Tesi, S. G. Whit-tington, Phys. A: Math. Gen. 26 L981-L98 (1993)

    Article  MathSciNet  ADS  Google Scholar 

  4. E. J. Janse van Rensburg, D. W. Sumners, S. G. Whitington, in Ideal Knots, ed. by A. Stasiak, V. Katritch, L. H. Kauffman, (World Scientific, Singapore, 1998), pp. 70-87

    Chapter  Google Scholar 

  5. A. Stasiak, J. Dubochet, V. Katritch, P. Pieranski, in Ideal Knots, ed. by A. Stasiak, V. Katritch, L. H. Kauffman (World Scientific, Singapore, 1998), pp. 1-19

    Chapter  Google Scholar 

  6. P. Pieranski, in Ideal Knots, A. Stasiak, V. Katritch, L. H. Kauffman (World Scientific, Singapore, 1998), pp. 20-41

    Chapter  Google Scholar 

  7. A. Stasiak, in Proceedings of the Delphi Conference on Knots, ed. by C. Gordon, V. F. R. Jones, L. Kauffman, S. Lambropoulou, J. H. Przytycki (World Scientific, Singapore, 2000), pp. 477-500

    Google Scholar 

  8. C. Cerf, A. Stasiak, Proc. Natl Acad. Sci. USA 97 3795-3798 (2000)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. C. Cerf, J. Knot Theory Ramif. 6 621-632 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  10. P. Pieranski, S. Przybyl, Eur. Phys. J. E 6 117 (2001)

    Article  Google Scholar 

  11. J. -Y. Huang, and P. -Y. Lai, Phys. Rev. E 63 021506 (2001)

    Article  ADS  Google Scholar 

  12. J. H. Conway, in Computational Problems in Abstract Algebra (Pergamon Press, Oxford, 1970), pp. 329-358

    Google Scholar 

  13. C. Cerf, Topology Atlas Invited Contributions 3 1-32 (1998). http://at. yorku. ca/t/a/i/c/31. htm

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Cerf, C., Stasiak, A. (2007). Linear Behavior of the Writhe Versus the Number of Crossings in Rational Knots and Links. In: Monastyrsky, M.I. (eds) Topology in Molecular Biology. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49858-2_6

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