IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v34y2023i06ns0129183123500730.html
   My bibliography  Save this article

Spectral analysis for weighted level-3 Sierpiński graphs

Author

Listed:
  • Xingchao Zhu

    (School of Science, Northwest A&F University, Yangling, Shannxi 712100, P. R. China)

  • Zhiyong Zhu

    (School of Science, Northwest A&F University, Yangling, Shannxi 712100, P. R. China)

Abstract

The spectrum of normalized Laplacian matrix of a network has attracted more and more attention because it is related to the structural properties and dynamical aspects of the network, specially in random walks. In this paper, we study the spectra and their applications of normalized Laplacian matrices for weighted level-3 Sierpiński graphs that are constructed in an iterative way. We analytically obtain all the spectra from two successive generations by applying the decimation method. Using the obtained spectra, we then derive closed-form expressions for their eigentime identity and number of spanning trees.

Suggested Citation

  • Xingchao Zhu & Zhiyong Zhu, 2023. "Spectral analysis for weighted level-3 SierpiÅ„ski graphs," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-23, June.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:06:n:s0129183123500730
    DOI: 10.1142/S0129183123500730
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183123500730
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183123500730?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:wsi:ijmpcx:v:34:y:2023:i:06:n:s0129183123500730. 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.