Scale-free network model under exogenous pressures
by Qiang Guo, Jian-Guo Liu, Ming-Jun Zhong
International Journal of Modelling, Identification and Control (IJMIC), Vol. 3, No. 1, 2008

Abstract: A random network model under the constraint that the average distance and the average degree (k) remain approximately constant is studied. We found that, if the network maintains the form of its degree distribution and the maximal degree k_c is a N dependent cutoff function k_c(N) < N, the degree distribution would be approximately power-law whose exponent is between 2 and 3. Moreover, the distribution exponent has little relationship with the average degree (k). The average distance constraint can be interpreted as the environmental selection pressure, which could explain the scale-free degree property of real-world networks.

Online publication date: Sat, 10-May-2008

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