Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 39, Issue 8, Pages 1811-1818Publisher
IOP Publishing Ltd
DOI: 10.1088/0305-4470/39/8/003
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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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