Evolving pseudofractal networks
Evolving pseudofractal networks
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DOI：
10.1140/epjb/e2007-00229-9
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发表时间：
2007-09
期刊：
影响因子：
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通讯作者：
Zhongzhi Zhang;Shuigeng Zhou;L. Chen
中科院分区：
文献类型：
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作者：
Zhongzhi Zhang;Shuigeng Zhou;L. Chen
提出了一种由团块组成的无标度网络模型族，并用简单的递归算法建立了该模型。我们对网络进行了分析和数值研究。得到的解析解表明，网络服从幂律度分布，度指数在2 ~ 3之间连续调整。给出了网络聚类系数的精确表达式。此外，对平均路径长度的研究表明，网络具有小世界特征。有趣的是，我们发现我们模型的一个特殊情况可以映射到Yule过程中。
We present a family of scale-free network model consisting of cliques, which is established by a simple recursive algorithm. We investigate the networks both analytically and numerically. The obtained analytical solutions show that the networks follow a power-law degree distribution, with degree exponent continuously tuned between 2 and 3. The exact expression of clustering coefficient is also provided for the networks. Furthermore, the investigation of the average path length reveals that the networks possess small-world feature. Interestingly, we find that a special case of our model can be mapped into the Yule process.