Node similarity is the basic principle behind connectivity in complex networks

Details Node similarity is the basic principle behind connectivity in complex networks Node similarity is the basic principle behind connectivity in complex networks

2010-10-05

arxiv.org/abs/1010.0803v1

Physics

Physics and Society

8 pages, 4 figures

Scientific paper

Who is connecting to whom in social communities? A popular belief is that preferential attachment to a highly connected network-node is an adequate model for real networks. By contrast, this work reveals that node similarity is the fundamental mechanism that gives complex networks its typical scale-free power-law characteristics. Additionally, it turns out that power-law node-degree distributions are restricted to only sparsely connected communities. More densely connected communities show an increasing divergence from power-law. A similarity model as proposed in this work, covers the full observed diversity of real networks and hence explains the topological transition from weakly to strongly connected societies.

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