Most real-world networks are best described by evolved network model. regarding of some limitation of the Barabasi-Albert scale-free network model to model the realistic world. The model is the generalization of Barabasi-Albert scale-free network model. Numerical simulations and theoretical analysis indicate that this network model follows power-law distribution, while the Barabasi-Albert scale-free network model is one of its special cases. The analytical expression is in good agreement with numerical calculations. It has more broad practical backgrounds. And it can simulate and describe the evolutions and characters of the many real-world networks more applicable and exactly.
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