Skip to main content
SpringerLink
Log in

Triviality of the Conway–Gordon Function ω 2 for Spatial Complete Graphs

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

We prove that ω 2(G n ) = 0 for any spatial complete graph G n with n ≥ 7 vertices, where ω 2 is the function introduced by J.Y. Conway and C. McA. Gordon in 1983.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. H. Conway and C. Gordon, “Knots and links in spatial graphs,” J. Graph Theory No. 7, 445–453 (1983).

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Yu. Vesnin and A. V. Litvintseva, “On linking of Hamiltonian pairs of cycles in spatial graphs” [in Russian], Sib. Elektr. Mat. Izv. No. 7, 383–393 (2010).

    MathSciNet  Google Scholar 

  3. P. Blain, G. Bowlin, J. Foisy, J. Hendricks, and J. LaCombe, “Knotted Hamiltonian cycles in spatial embeddings of complete graphs,” New York J. Math. 13, 11–16 (2007).

    MATH  MathSciNet  Google Scholar 

  4. J. Foisy, “Corrigendum to “Knotted Hamiltonian cycles in spatial embeddings of complete graphs,” New York J. Math. 14, 285–287 (2008).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chelyabinsk State University, 129, ul. Brat’ev Kashirinyh, Chelyabinsk, 454001, Russia

    A. A. Kazakov & Ph. G. Korablev

Authors
  1. A. A. Kazakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ph. G. Korablev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Kazakov.

Additional information

Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 2, 2013, pp. 51–60.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kazakov, A.A., Korablev, P.G. Triviality of the Conway–Gordon Function ω 2 for Spatial Complete Graphs. J Math Sci 203, 490–498 (2014). https://doi.org/10.1007/s10958-014-2152-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-014-2152-0

Keywords

Search

Navigation