Skip to main content
Log in

Mobius Energy of Graphs

  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. H. K. Moffatt, J. Fluid Mech., 35 (1969), 117–129.

    MATH  Google Scholar 

  2. V. I. Arnold, in: Materials of the All-Union School on Differential Equations with Infinitely Many Variables and Dynamical Systems [in Russian], Armenian Academy of Sciences Publ., Yerevan, 1974, pp. 229–256.

    Google Scholar 

  3. W. Fukuhara, in: The Fete of Topology, Academic Press, Boston, MA, 1988, pp. 443–451.

    Google Scholar 

  4. J. O'Hara, Topology, 30 (1991), no. 2, 241–247.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. H. Freedman, Z.-H. He, and Z. Wang, Ann. of Math. (2), 139 (1994), no. 1, 1–50.

    MathSciNet  Google Scholar 

  6. D. Kim and R. Kusner, Experiment. Math., 2 (1993), no. 1, 1–9.

    MathSciNet  Google Scholar 

  7. A. Abrams, J. Cantarella, J. H. Fu, G., M. Ghomi, and R. Howard, Topology, 42 (2003), no. 2, 381–394.

    Article  MathSciNet  Google Scholar 

  8. O. Karpenkov, Russ. J. Math. Phys., 9 (2002), no. 3, 275–287.

    MATH  MathSciNet  Google Scholar 

  9. O. Karpenkov, in: Fundamental Mathematics Today [in Russian], Nezavis. Mosk. Univ. Publ., Moscow, 2003, pp. 214–223.

    Google Scholar 

  10. J. M. Sullivan, in: Physical Knots: Knotting, Linking, and Folding Geometric Objects in3 (Las Vegas, NV, 2001), Contemp. Math., vol. 304, Amer. Math. Soc., Providence, RI, 2002, pp. 181–186.

    Google Scholar 

  11. A. I. Bobenko, in: Discrete and Computational Geometry, vol. 52, MSRI Publications, Berkeley, CA, 2005, pp. 133–143.

    Google Scholar 

  12. J. O'Hara, Energy of Knots and Conformal Geometry, Series on Knots and Everything, vol. 33, World Scientific Publ., River Edge, NJ, 2003.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Matematicheskie Zametki, vol. 79, no. 1, 2006, pp. 146–149.

Original Russian Text Copyright © 2006 by O. N. Karpenkov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karpenkov, O.N. Mobius Energy of Graphs. Math Notes 79, 134–138 (2006). https://doi.org/10.1007/s11006-006-0014-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11006-006-0014-x

Key words

Navigation