High-dimensional Apollonian networks

High-dimensional Apollonian networks
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DOI:
10.1088/0305-4470/39/8/003
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发表时间:
2005-03
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
Zhongzhi Zhang;F. Comellas;G. Fertin;Lili Rong
Zhongzhi Zhang;F. Comellas;G. Fertin;Lili Rong
中科院分区:
其他
文献类型:
--
作者:
Zhongzhi Zhang;F. Comellas;G. Fertin;Lili Rong

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我们提出了一个简单的算法,它可以产生同时具有小世界和无标度特性的高维阿波罗网络。我们推导了网络的度分布、聚集系数和直径的解析表达式,它们由网络的维度决定。
We propose a simple algorithm which produces high-dimensional Apollonian networks with both small-world and scale-free characteristics. We derive analytical expressions for the degree distribution, the clustering coefficient and the diameter of the networks, which are determined by their dimension.