Structure of n-clique networks embedded in a complex network

Details Structure of n-clique networks embedded in a complex network Structure of n-clique networks embedded in a complex network

2007-02-20

arxiv.org/abs/physics/0702160v1

Physica A 380, 665 (2007)

Physics

Physics and Society

12 pages, 5 figures

Scientific paper

10.1016/j.physa.2007.02.042

We propose the n-clique network as a powerful tool for understanding global structures of combined highly-interconnected subgraphs, and provide theoretical predictions for statistical properties of the n-clique networks embedded in a complex network using the degree distribution and the clustering spectrum. Furthermore, using our theoretical predictions, we find that the statistical properties are invariant between 3-clique networks and original networks for several observable real-world networks with the scale-free connectivity and the hierarchical modularity. The result implies that structural properties are identical between the 3-clique networks and the original networks.

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