Efficiency dynamics on scale-free networks with tunable degree exponent

Z.-G. Shao, J.-P. Sang, Z.-J. Tan, X.-W. Zou () and Z.-Z. Jin

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 48, issue 4, 587-591

Abstract: A model, introduced earlier for the dynamics of a generic efficiency measure in a population of agents by Majumdar and Krapivsky (Phys. Rev. E 63, 054101 (2001)), is investigated on scale-free networks whose degree distribution follows a power law with the tunable exponent γ. The model shows a delocalization transition from a stagnant phase to a growing one when decreasing the degree exponent γ of scale-free networks. By taking into account the specific dynamical properties of the model and the geometrical properties of scale-free networks, we predict the appearance of this critical transition. This work is useful for understanding these kinds of transitions occurring in many dynamical processes on scale-free networks. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2006-00014-4

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