dorsal/arxiv
View SchemaStructure of n-clique networks embedded in a complex network
| Authors | Kazuhiro Takemoto, Chikoo Oosawa, Tatsuya Akutsu |
|---|---|
| Categories | |
| ArXiv ID | physics/0702160 |
| URL | https://arxiv.org/abs/physics/0702160 |
| DOI | 10.1016/j.physa.2007.02.042 |
| Journal | Physica A 380, 665 (2007) |
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.
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"abstract": "We propose the n-clique network as a powerful tool for understanding global\nstructures of combined highly-interconnected subgraphs, and provide theoretical\npredictions for statistical properties of the n-clique networks embedded in a\ncomplex network using the degree distribution and the clustering spectrum.\nFurthermore, using our theoretical predictions, we find that the statistical\nproperties are invariant between 3-clique networks and original networks for\nseveral observable real-world networks with the scale-free connectivity and the\nhierarchical modularity. The result implies that structural properties are\nidentical between the 3-clique networks and the original networks.",
"arxiv_id": "physics/0702160",
"authors": [
"Kazuhiro Takemoto",
"Chikoo Oosawa",
"Tatsuya Akutsu"
],
"categories": [
"physics.soc-ph",
"q-bio.MN"
],
"doi": "10.1016/j.physa.2007.02.042",
"journal_ref": "Physica A 380, 665 (2007)",
"title": "Structure of n-clique networks embedded in a complex network",
"url": "https://arxiv.org/abs/physics/0702160"
},
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