IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i12p2465-2471.html
   My bibliography  Save this article

Detecting the structure of complex networks by quantum bosonic dynamics

Author

Listed:
  • Jiang, Xin
  • Wang, Hailong
  • Tang, Shaoting
  • Ma, Lili
  • Zhang, Zhanli
  • Tian, Guangshan
  • Zheng, Zhiming

Abstract

In this paper, we introduce a non-interacting boson model to investigate the topological structure of complex networks. By exactly solving this model, we show that it provides a powerful analytical tool in uncovering the important properties of realistic networks. We find that the ground-state degeneracy of this model is equal to the number of connected components in a network and the square of each coefficient in the expansion of the ground state gives the average time that a random walker spends at each node in the infinite time limit. To show the usefulness of this approach in practice, we also carry out numerical simulations on some concrete complex networks. Our results are completely consistent with the previous conclusions derived by graph theory methods. Furthermore, we show that the first excited state appears always on the largest connected component of the network. The relationship between the first excited energy and the average shortest path length in networks is also discussed.

Suggested Citation

  • Jiang, Xin & Wang, Hailong & Tang, Shaoting & Ma, Lili & Zhang, Zhanli & Tian, Guangshan & Zheng, Zhiming, 2010. "Detecting the structure of complex networks by quantum bosonic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(12), pages 2465-2471.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:12:p:2465-2471
    DOI: 10.1016/j.physa.2010.02.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110001494
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2010.02.022?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:389:y:2010:i:12:p:2465-2471. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.