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High-dimensional Apollonian networks. (English) Zbl 1086.68017

Summary: 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.

MSC:

68M10 Network design and communication in computer systems
94A05 Communication theory
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