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On the distributions of Laplacian eigenvalues versus node degrees in complex networks

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  • Zhan, Choujun
  • Chen, Guanrong
  • Yeung, Lam F.

Abstract

In this paper, the important issue of Laplacian eigenvalue distributions is investigated through theory-guided extensive numerical simulations, for four typical complex network models, namely, the ER random-graph networks, WS and NW small-world networks, and BA scale-free networks. It is found that these four types of complex networks share some common features, particularly similarities between the Laplacian eigenvalue distributions and the node degree distributions.

Suggested Citation

  • Zhan, Choujun & Chen, Guanrong & Yeung, Lam F., 2010. "On the distributions of Laplacian eigenvalues versus node degrees in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1779-1788.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:8:p:1779-1788
    DOI: 10.1016/j.physa.2009.12.005
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    References listed on IDEAS

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    1. Jalan, Sarika & Bandyopadhyay, Jayendra N., 2008. "Random matrix analysis of network Laplacians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 667-674.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

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