Hierarchical organization in complex networks

Title:
Hierarchical organization in complex networks
Creator:
Ravasz, Erzsébet (Author)
Barabási, Albert-László (Author)
Language:
English
Publisher:
The American Physical Society, February 01, 2003
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/Description:
Many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. We show that these two features are the consequence of a hierarchical organization, implying that small groups of nodes organize in a hierarchical manner into increasingly large groups, while maintaining a scale-free topology. In hierarchical networks, the degree of clustering characterizing the different groups follows a strict scaling law, which can be used to identify the presence of a hierarchical organization in real networks. We find that several real networks, such as the Worldwideweb, actor network, the Internet at the domain level, and the semantic web obey this scaling law, indicating that hierarchy is a fundamental characteristic of many complex systems.
Comments:
Originally published in Physical Review E 67(2), 2003. doi:10.1103/PhysRevE.67.026112
Subjects and keywords:
Hierarchies
Scaling laws (Statistical physics)
Topology
scale-free networks
hierarchical organization
clustering
Physics
Permanent Link:
http://hdl.handle.net/2047/d20000686

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