Article ID Journal Published Year Pages File Type
976982 Physica A: Statistical Mechanics and its Applications 2007 6 Pages PDF
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 pp). That is, the utility increment Δui≠ΔujΔui≠Δuj when connecting node ii to node jj. The simulation results show that the model can reproduce power-law distributions of utility P(u)∼u-aP(u)∼u-a, a=2+1/pa=2+1/p, which can be obtained using mean field approximation. Furthermore, the model exhibits exponential networks with respect to small values of pp and power-law scale-free networks with respect to big values of pp, 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 CC and degree assortativity rr depending on probability pp are also discussed.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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