Scale-free and small-world properties of Sierpinski networks

Scale-free and small-world properties of Sierpinski networks
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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
Wang Lihong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang Songjing;Xi Lifeng;Xu Hui;Wang Lihong

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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.
具有无标度缩放和小世界效应的 Sierpinski 网络的统一模型
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