本文研究了满足线性择优模式的生长网络,解析得到了度分布的递推表达式,在此基础上证明了在一定条件下其近似解析解符合Mandelbrot分布p(k)∝(k+c)-γ分布,并得到了幂律指数γ和漂移量c的具体表达式。文章指出了传统解析中差分近似中存在着对漂移量c的估计偏差,通过数值对比实验,验证了本文所提出的方法的准确性。
This paper studies the growing networks with linear preferential attachment The recursive formula of degree distribution is presented, we prove that the approximate analytical solution of the recursive formula is in accordance with Mandelbrot law distribution p(k)∝(k+c)-r in certain conditions and then we obtain the concrete expressions of the scaling exponent γ and the shifting coefficient c. It is concluded that there is a deviation of shifting coefficient c in the approximation of traditional difference analysis. The accuracy of this method is confirmed by numerical experiments.