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基于信息维数的复杂网络自相似性研究
Self-similarity research of complex networks based on information dimension
【摘要】 描述了基于重构性的复杂网络自相似模型。在分形思想的基础上提出了复杂网络的自相似性研究,指出了分形思想中容量维数的不足,提出利用信息维数研究复杂网络的自相似性,这种方法更能客观反映网络的自相似性。给出了复杂网络自相似性测量方法和基于信息维数的仿真结果,数值仿真验证了理论分析的正确性。最后提出了进一步研究的方向。
【Abstract】 This paper describes the self-similarity model of complex networks based on renormalization procedure.Self-similarity of complex networks is researched based on the concept of fractal,besides,the shortage of volume dimension is also referred to.Studying the self-similarity of complex networks by information volume is proposed,which can reflect the self-similarity of networks more object.The measure methods of self-similarity and simulation results are given.We prove the correctness of the theoretical result by our simulation,finally further study is proposed.
【Key words】 complex networks; self-similarity; volume dimension; information dimension;
- 【文献出处】 计算机工程与应用 ,Computer Engineering and Applications , 编辑部邮箱 ,2007年15期
- 【分类号】TP393.01
- 【被引频次】36
- 【下载频次】527