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。
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 simulatlon,finally further study is proposed.
出处
《计算机工程与应用》
CSCD
北大核心
2007年第15期108-110,共3页
Computer Engineering and Applications
基金
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60673163
No.60473085)
国家重点基础研究发展规划(973) (the National Grand Fundamental Research 973 Program of China under Grant No.2003CB314804) 。
关键词
复杂网络
自相似性
容量维数
信息维数
complex networks
self-similarity
volume dimension
information dimension
