Structure of n-clique networks embedded in a complex network

Kazuhiro Takemoto, Chikoo Oosawa and Tatsuya Akutsu

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 665-672

Abstract: 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.

Keywords: Cliques; Scale-free networks; Hierarchical modularity; Real-world networks (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:665-672

DOI: 10.1016/j.physa.2007.02.042

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