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

Kenji Kashima, Yutaka Takahashi and Jun-ichi Imura

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 21, 5461-5472

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.

Keywords: Random graph; Diffusion; Multi-agent systems; Consensus (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:21:p:5461-5472

DOI: 10.1016/j.physa.2013.05.057

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