Properties of asymmetrical evolving networks

Jian-Feng Zheng, Zi-You Gao and Hui Zhao

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 719-724

Abstract: Introducing utility to describe the attractions of nodes in this work, we propose and study a simple asymmetrical evolving network model, considering both preferential attachment and random (controlled by probability p). That is, the utility increment Δui≠Δuj when connecting node i to node j. The simulation results show that the model can reproduce power-law distributions of utility P(u)∼u-a, a=2+1/p, which can be obtained using mean field approximation. Furthermore, the model exhibits exponential networks with respect to small values of p and power-law scale-free networks with respect to big values of p, which is in good agreement with theoretical analysis. In other words, the model represents a transition between exponential and power-law scaling. To better understand the degree correlations of our model, the clustering coefficient C and degree assortativity r depending on probability p are also discussed.

Keywords: Complex networks; Scale-free networks; Exponential networks (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:719-724

DOI: 10.1016/j.physa.2006.10.065

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