一种非线性BA模型研究

A Research on Non-Linear BA Model

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.

The distribution of power law is an important characteristic in scale-free network. Based on theory of non-linear BA model, we give the algorithm of graph G＊ （m, N,β）, and research the model under three forms of β, which are 0〈β〈 1,β〉 1 and β →＋ ∞. Under dissimilarity of β different power law distributions of Pr [D=k] are obtained.