High dimensional Apollonian networks

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. High dimensional Apollonian networks. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2006, 39, pp.1811-1818. ⟨hal-00461776⟩

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