IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i3p764-d1055797.html
   My bibliography  Save this article

Limit Theorem for Spectra of Laplace Matrix of Random Graphs

Author

Listed:
  • Alexander N. Tikhomirov

    (Institute of Physics and of Mathematics, Komi Science Center of Ural Branch of RAS, 167982 Syktyvkar, Russia)

Abstract

We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges to the free convolution of the semicircular law and the normal law.

Suggested Citation

  • Alexander N. Tikhomirov, 2023. "Limit Theorem for Spectra of Laplace Matrix of Random Graphs," Mathematics, MDPI, vol. 11(3), pages 1-25, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:764-:d:1055797
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/3/764/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/3/764/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Tianming Song & Zhe Ren & Jian Zhang & Mingzhi Wang, 2024. "Multi-View and Multimodal Graph Convolutional Neural Network for Autism Spectrum Disorder Diagnosis," Mathematics, MDPI, vol. 12(11), pages 1-22, May.
    2. Alexander N. Tikhomirov & Vladimir V. Ulyanov, 2023. "On the Special Issue “Limit Theorems of Probability Theory”," Mathematics, MDPI, vol. 11(17), pages 1-4, August.

    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:gam:jmathe:v:11:y:2023:i:3:p:764-:d:1055797. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.