Hierarchy in Networks

Hierarchical Organization in Complex Networks

Most real-world networks like the Internet, www, actor network, scientific collaboration networks and cellular networks (metabolism, protein interaction network or genetic networks) are known to have a scale-free degree distribution, with diverging fluctuations in the node connectivity. These networks, however, also show high degrees of clustering. We show that most real networks have hierarchical modularity, where tight small clusters are embedded in larger and looser modules, without having a characteristic cluster scale.

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