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On the convergence rate of diffusion in the bidirectional Erdös–Rényi networks: An H2-norm perspective

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  • Kashima, Kenji
  • Takahashi, Yutaka
  • Imura, Jun-ichi

Abstract

We investigate the convergence rates of diffusion in bidirectional Erdös–Rényi networks. We analytically and numerically demonstrate that the asymptotic distribution is far from a bell shape. Further, we numerically verify that the dynamical networks generated by the Barabasi–Albert model, which is a standard scale-free network model, exhibiting faster convergence of average consensus.

Suggested Citation

  • Kashima, Kenji & Takahashi, Yutaka & Imura, Jun-ichi, 2013. "On the convergence rate of diffusion in the bidirectional Erdös–Rényi networks: An H2-norm perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5461-5472.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:21:p:5461-5472
    DOI: 10.1016/j.physa.2013.05.057
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    References listed on IDEAS

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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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    3. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
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