摘要
通过对BA模型与其它无标度模型的分析,利用平均场理论,得出在保证增长和优先连接条件下无标度模型的γ值的大小成因。发现了此类无标度网络都具有的标度共同点:新增节点具有固定度时系统的akibt决定了γ的大小,即γ=ba+1,从而可以简化分析过程,并且更有利于构造模型,扩展研究思路。通过一个简单的无标度模型来证实结论。
In this paper,BA model and other scale-free models are investigated.By applying mean-field theory,the cause of formation for the value of γ is found,with the assumption growth and preferential attachment.These models all have the characteristic,the value of γ is determined by the system's ak_ibt,γ=ba+1 in the case of adding a new vertice with a fixed degree.Thus other models can be constructed easily.The process of analysis is simplified and this may enlarge our sights.By introducing a simple scale-free model,the conclusion is proved to be right.
出处
《复杂系统与复杂性科学》
EI
CSCD
2005年第3期67-71,共5页
Complex Systems and Complexity Science
基金
国家博士后基金(20033498)
江苏省教育厅基金(03KJD110070
03SJB630002)
关键词
幂律分布
复杂网络
无标度
distribution of power-law
complex networks
scale-free
