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基于BA模型高团聚性网络构造
引用本文:王小云,邓科. 基于BA模型高团聚性网络构造[J]. 吉首大学学报(自然科学版), 2012, 33(1): 32-35. DOI: 10.3969/j.issn.1007-2985.2012.01.009
作者姓名:王小云  邓科
作者单位:(吉首大学物理与机电工程学院,湖南 吉首 416000)
基金项目:湖南省自然科学基金资助项目,湖南省高等学校科学研究项目
摘    要:介绍了复杂网络,指出BA模型在刻画真实网络上的不足,即团簇系数不高.在BA模型的基础上引入加边机制,提出了一种改进模型.数值模拟结果表明:在改进模型中,网络在保持BA模型无标度性质的同时,具有较高的团簇系数;网络的团簇系数C随改进模型中加边概率p的增大而增大,当p=1时,网络的团簇系数比同等规模的BA模型提高了约100倍.

关 键 词:复杂网络  团簇性  加边  无标度  

Networks with High Clustering Coefficients Based on BA Model
WANG Xiao-yun,DENG Ke. Networks with High Clustering Coefficients Based on BA Model[J]. Journal of Jishou University(Natural Science Edition), 2012, 33(1): 32-35. DOI: 10.3969/j.issn.1007-2985.2012.01.009
Authors:WANG Xiao-yun  DENG Ke
Affiliation:(College of Physics and mechanical & electrical Engineering,Jishou University,Jishou 416000,Hunan China)
Abstract:The authors discuss briefly some properties of the BA model and point out that such model is insufficient to describe real networks for its relatively small clustering coefficient.Based on the BA model,and introducing edge addition into network evolution,the authors propose a modified network model.Numerical simulation results indicate that in the modified model,the networks are scale-free,just as the networks in the BA model.In addition,the networks in such model are highly clustered.It is shown that the clustering coefficient C of network increases with the increase of edge-addition probability p in the modified model.In particular,when p=1,C is found to be 100 times higher in the modified model than that in the BA model with the same network-size.
Keywords:complex networks  clustering  edge addition  scale-free
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