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High Dimensional Apollonian Networks

Zhongzhi Zhang·Francesc Comellas·Guillaume Fertin·Lili Rong
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Abstract

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.

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Zhongzhi Zhang, Francesc Comellas, Guillaume Fertin, Lili Rong. 2005-07-01. High Dimensional Apollonian Networks. https://doi.org/10.1088/0305-4470%2F39%2F8%2F003

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