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Enhancing The Synchronizability Of Scale-Free Networks By Adding Edges

Author

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  • 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
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    1. Anonymous, 2005. "Drug Pricing: Rajya Sabha August 17, 2005," Working Papers id:106, eSocialSciences.
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