基于节点加权和边加权的重分形研究

目前对于网络重分形的研究,在网络权重性质方面主要是原始网络、节点加权网络、边加权网络,每一个都是单独进行研究,论文主要对同时包含节点权重和边权重的网络进行分析,研究网络广义分形维数的变化情况.首先对已有的沙箱算法进行改进,并利用分形布朗运动时间序列进行改进算法的验证,然后利用改进的沙箱算法对由分形布朗运动时间序列生成的...

Multifractal Research Based on Node-Weight and Edge-Weight

At present,the research on network multifractal mainly focuses on the original network,node-weighted network and edge-weighted network,each of which is studied separately.This paper mainly analyses the network which contains both node weight and edge weight,and finds out the change of the generalized fractal dimension of the network.Firstly,the existing sandbox algorithm is improved,and the improved algorithm is validated by using fractal Brownian motion time series.Then,the improved sandbox algorithm is used to calculate the visual complex network generated by fractal Brownian motion time series,which contains both node weight and edge weight.Then,the edge weight and node weight are changed separately,and the generalized fractal di?mension is further studied.With the change of edge weight and node weight,the results show that the improved sandbox algorithm greatly improves the calculation speed while maintaining the accuracy of the traditional sandbox algorithm.For changing node weight and edge weight separately at the same time,the influence on the generalized fractal dimension of complex networks is quite differ?ent.The change of node weight basically does not affect the change of the generalized fractal dimension of networks,while the influ?ence of edge weight is great and different under different weight index.