IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v21y2010i01ns0129183110014951.html
   My bibliography  Save this article

Enhancing The Synchronizability Of Scale-Free Networks By Adding Edges

Author

Listed:
  • SHENG-JUN WANG

    (Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China;
    Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China)

  • ZHI-XI WU

    (Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China;
    Department of Physics, Umeå University, 90187 Umeå, Sweden)

  • HAI-RONG DONG

    (College of Electrical and Information Engineering, Beijing Jiao Tong University, Beijing 100044, China)

  • GUANRONG CHEN

    (Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, China;
    College of Engineering, Peking University, Beijing 100871, China)

Abstract

To efficiently enhance the synchronizability of a scale-free network by adding some edges, we numerically study the effect of edge-adding on the spectrum of the network Laplacian matrix. Based on the relation between the largest eigenvalue of the Laplacian matrix and the largest degree of the scale-free network, we show that adding a new edge to the node of largest degree will generally weaken the synchronizability of a scale-free network. We consequently propose a method to effectively enhance the network synchronizability by attaching the new edge to a node whose nearest-neighbors have small degrees. The effect of the new method is analyzed and demonstrated with comparisons.

Suggested Citation

  • Sheng-Jun Wang & Zhi-Xi Wu & Hai-Rong Dong & Guanrong Chen, 2010. "Enhancing The Synchronizability Of Scale-Free Networks By Adding Edges," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 67-77.
  • Handle: RePEc:wsi:ijmpcx:v:21:y:2010:i:01:n:s0129183110014951
    DOI: 10.1142/S0129183110014951
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183110014951
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183110014951?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.

    References listed on IDEAS

    as
    1. Anonymous, 2005. "Drug Pricing: Rajya Sabha August 17, 2005," Working Papers id:106, eSocialSciences.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bin Ning & Ke-Ping Li & Zi-You Gao, 2005. "Modeling Fixed-Block Railway Signaling System Using Cellular Automata Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(11), pages 1793-1801.
    2. Jinqing Fang & Qiao Bi & Yong Li & Xin-Biao Lu & Qiang Liu, 2007. "Toward A Harmonious Unifying Hybrid Model For Any Evolving Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 117-141.
    3. Ke Ping Li & Zi You Gao, 2006. "Network-Based Simulation Approach For Scheduling Trains On Rail Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1349-1358.
    4. Keping Li & Ziyou Gao & Baohua Mao, 2006. "A Weighted Network Model For Railway Traffic," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1339-1347.

    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:21:y:2010:i:01:n:s0129183110014951. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.