High Dimensional Apollonian Networks

Details High Dimensional Apollonian Networks High Dimensional Apollonian Networks

2005-03-13

arxiv.org/abs/cond-mat/0503316v2

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

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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