无标度网络累积分布的新方法

New method for cumulative distribution of scale-free network

以算法的方式给出了具有无标度性的极大平面图网络,计算了极大平面图网络模型的顶点累积分布和边累积分布,并验证二者的等价性。此外,按照混合方式的不同,提出了新的统计指标:边点混合累积分布。随后,提出猜想:采用线性混合方式的边点混合累积分布与顶点累积分布是等价的。此猜想为全方位、多角度的探讨无标度网络提供了新视角。

By applying algorithm method, the maximal planar network with scale-free properties is em- ployed. The cumulative degree distribution and edge-cumulative degree distribution are computed, and the equivalence between them is testified. Besides, the new statistical index, namely, the mix cumulative distribution between edge and vertex on the basis of different mixed method is provided. A conjecture： If the mixed mode is linear, the mix cumulative distribution is equivalent to cumulative distribution is pro- posed. This conjecture makes a contribution to discussing scale-free network by applying all-round and multi-angle standpoint.