Complex networks created by aggregation

Details Complex networks created by aggregation Complex networks created by aggregation

2004-06-24

arxiv.org/abs/cond-mat/0406607v1

Phys. Rev. E 71, 036107 (2005)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 13 figures

Scientific paper

10.1103/PhysRevE.71.036107

We study aggregation as a mechanism for the creation of complex networks. In this evolution process vertices merge together, which increases the number of highly connected hubs. We study a range of complex network architectures produced by the aggregation. Fat-tailed (in particular, scale-free) distributions of connections are obtained both for networks with a finite number of vertices and growing networks. We observe a strong variation of a network structure with growing density of connections and find the phase transition of the condensation of edges. Finally, we demonstrate the importance of structural correlations in these networks.

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