Evolving Apollonian networks with small-world scale-free topologies.
Evolving Apollonian networks with small-world scale-free topologies.
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DOI：
10.1103/physreve.74.046105
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发表时间：
2005-11
期刊：
影响因子：
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通讯作者：
Zhongzhi Zhang;Lili Rong;Shuigeng Zhou
中科院分区：
文献类型：
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作者：
Zhongzhi Zhang;Lili Rong;Shuigeng Zhou
我们提出了两种类型的进化网络：进化阿波罗网络（EAN）和一般确定性阿波罗网络（GDAN），建立简单的迭代算法。我们研究了这两个网络的模拟和理论预测。分析结果表明，这两个网络都遵循幂律度分布，分布指数从2到3不断调整。给出了两种网络聚类系数的精确表达式。此外，对EAN网络平均路径长度和GDAN网络直径的研究表明，这两种网络都具有小世界特性。此外，我们还研究了EAN在某些限制条件下的集体同步行为。
We propose two types of evolving networks: evolutionary Apollonian networks (EANs) and general deterministic Apollonian networks (GDANs), established by simple iteration algorithms. We investigate the two networks by both simulation and theoretical prediction. Analytical results show that both networks follow power-law degree distributions, with distribution exponents continuously tuned from 2 to 3. The accurate expression of clustering coefficient is also given for both networks. Moreover, the investigation of the average path length of EAN and the diameter of GDAN reveals that these two types of networks possess small-world feature. In addition, we study the collective synchronization behavior on some limitations of the EAN.