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arxiv: cond-mat/0503316 · v2 · pith:KAJIXKZWnew · submitted 2005-03-13 · ❄️ cond-mat.other

High Dimensional Apollonian Networks

classification ❄️ cond-mat.other
keywords networksapolloniandimensionalhighalgorithmanalyticalcharacteristicsclustering
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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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