Skip to main content
SpringerLink
Log in

Analyzing the structure of a complex network on the basis of its macroscopic characteristics

  • Materials of XIV All-Russian Seminar “The Wave Phenomena in Inhomogeneous Media”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

A method for analyzing structural changes and clusterization processes in complex networks by examining their macroscopic characteristics (a system’s overall vector of state) using the continuous wavelet transform is proposed. It is demonstrated that the proposed method allows effective diagnostics of changes in network topology and the detection of structural clusters.

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. Holme, P., Phys. Rev. E, 2005, vol. 71, no. 4, p. 046119.

    Article  ADS  Google Scholar 

  2. Valencia, M., Pastor, M.A., and Fernandez-Seara, V.A., Phys. Rev. E, 2008, vol. 77, no. 5, p. 050905.

    Article  ADS  Google Scholar 

  3. Onnela, J.P., Saramäki, J., Hyvönen, J., et al., Proc. Nat. Acad. Sci. USA, 2007, vol. 104, p. 7332.

    Article  ADS  Google Scholar 

  4. Stehlé, J., Voirin, N. Barrat, A., et al., Phys. Rev. E, 2010, vol. 81, no. 3, p. 035101.

    Article  ADS  Google Scholar 

  5. McPherson, M., Smith-Lovin, L., and MCook, J., Ann. Rev. Sociol., 2001, vol. 27, p. 415.

    Article  Google Scholar 

  6. Ulhaas, P.J., Frontiers Neurosc., 2009, vol. 3, p. 17.

    Google Scholar 

  7. Van Ooyen, A., Comput. Neural Syst., 2001, vol. 12, p. R1.

    Article  MATH  Google Scholar 

  8. Tang, J., Scellato, S., Musolesi, M., Mascolo, C., and Latora, V., Phys. Rev. E, 2010, vol. 81, p. 055101.

    Article  ADS  Google Scholar 

  9. Boccaletti, S., Ivanchenko, M., and Latora, V., Phys. Rev. E, 2007, vol. 75, no. 4, p. 045102.

    Article  ADS  Google Scholar 

  10. Aoki, T. and Aoyagi, T., Phys. Rev. Lett., 2009, vol. 102, p. 034101.

    Article  ADS  Google Scholar 

  11. Assenza, S., Gutierrez, R., Gomez-Gardenes, J., et al., Sci. Rep., 2013, vol. 1, no. 99, p. 1.

    Google Scholar 

  12. Arenas, A., Díaz-Guilera, A., and Pérez-Vicente, C.J., Phys. Rev. Lett., 2006, vol. 96, no. 11, p. 114102.

    Article  ADS  Google Scholar 

  13. Bullmore, E. and Sporns, O., Nat. Rev. Neurosci., 2009, vol. 10, p. 186.

    Article  Google Scholar 

  14. Moreno, Y. and Pacheco, A.F., Europhys. Lett., 2004, vol. 68, no. 4, p. 603.

    Article  ADS  Google Scholar 

  15. Kuramoto, Y. and Araki, H., Proc. 39th Int. Symp. on Mathematical Problems in Theoretical Physics, New York: Springer-Verlag, 1975, p. 420.

    Book  Google Scholar 

  16. Fujiwara, N., Kurths, J., and Díaz-Guilera, A., Phys. Rev. E, 2011, vol. 83, p. 025101.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    V. A. Maksimenko, V. V. Makarov, A. A. Koronovskii, A. E. Hramov & O. I. Moskalenko

  2. Saratov State Technical University, Saratov, 410054, Russia

    V. A. Maksimenko, V. V. Makarov, A. A. Koronovskii, A. E. Hramov & O. I. Moskalenko

Authors
  1. V. A. Maksimenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Makarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Koronovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. E. Hramov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. O. I. Moskalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Maksimenko.

Additional information

Original Russian Text © V.A. Maksimenko, V.V. Makarov, A.A. Koronovskii, A.E. Hramov, O.I. Moskalenko, 2014, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2014, Vol. 78, No. 12, pp. 1568–1572.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Maksimenko, V.A., Makarov, V.V., Koronovskii, A.A. et al. Analyzing the structure of a complex network on the basis of its macroscopic characteristics. Bull. Russ. Acad. Sci. Phys. 78, 1281–1284 (2014). https://doi.org/10.3103/S1062873814120211

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873814120211

Keywords

Search

Navigation