IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v29y2018i01ns0129183118500092.html
   My bibliography  Save this article

Determining entire mean first-passage time for Cayley networks

Author

Listed:
  • Xiaoqian Wang

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Meifeng Dai

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Yufei Chen

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Yue Zong

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Yu Sun

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Weiyi Su

    (#x2020;Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China)

Abstract

In this paper, we consider the entire mean first-passage time (EMFPT) with random walks for Cayley networks. We use Laplacian spectra to calculate the EMFPT. Firstly, we calculate the constant term and monomial coefficient of characteristic polynomial. By using the Vieta theorem, we then obtain the sum of reciprocals of all nonzero eigenvalues of Laplacian matrix. Finally, we obtain the scaling of the EMFPT for Cayley networks by using the relationship between the sum of reciprocals of all nonzero eigenvalues of Laplacian matrix and the EMFPT. We expect that our method can be adapted to other types of self-similar networks, such as vicsek networks, polymer networks.

Suggested Citation

  • Xiaoqian Wang & Meifeng Dai & Yufei Chen & Yue Zong & Yu Sun & Weiyi Su, 2018. "Determining entire mean first-passage time for Cayley networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-10, January.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:01:n:s0129183118500092
    DOI: 10.1142/S0129183118500092
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183118500092
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183118500092?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dai, Meifeng & Dai, Changxi & Ju, Tingting & Shen, Junjie & Sun, Yu & Su, Weiyi, 2019. "Mean first-passage times for two biased walks on the weighted rose networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 268-278.
    2. Jicheng Bian & Da Huang & Jian Zhu & Xing Chen, 2024. "On the Asymptotic Network Indices of Weighted Three-Layered Structures with Multi-Fan Composed Subgraphs," Mathematics, MDPI, vol. 12(15), pages 1-11, July.

    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:wsi:ijmpcx:v:29:y:2018:i:01:n:s0129183118500092. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.