Scale-free and small-world properties of Sierpinski networks
Scale-free and small-world properties of Sierpinski networks
复制标题
Sierpinski 网络的无标度和小世界特性
DOI:
10.1016/j.physa.2016.08.069
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发表时间:
2017
影响因子:
3.3
通讯作者:
Wang Lihong
中科院分区:
文献类型:
--
作者:
Wang Songjing;Xi Lifeng;Xu Hui;Wang Lihong
In this paper, we construct the evolving networks from Sierpinski carpet, using the encoding approach in fractal geometry. We consider the small similar copies of unit square as nodes of network, where two nodes are neighbors if and only if their corresponding copies have common surface. For our networks, we check their scale-free and small-world effect by the self-similar structures, the exponent of power-law on degree distribution is log 3 8 which is the Hausdorff dimension of the carpet.
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