The distribution of power law is an important characteristic in scale-free network. Based on theory ofnon-linear BA model, we give the algorithm of graph G* Cm./V,β),and research the model under three forms ofβ, which are 0<β<1,β>land β-?+∞. Under dissimilarity of β,different power law distributions of Pr[D=k] areobtained.%幂律分布是无标度网络的一个关键特性.在非线性BA模型理论的基础上,给出了图G*(m,N,β)的构造算法,并且在0＜β＜1、β＞1和β→+∞3种形式下研究了该模型,获得了不同β取值条件下Pr[D=k]的分布规律.
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