Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 336, Issue 1-2, Pages 163-173Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2004.01.021
Keywords
complex random networks; network modules; statistical physics
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A diffusion process on complex networks is introduced in order to uncover their large-scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to real-world networks like a friendship network of known modular structure, and an Internet routing network. For the friendship network, its known structure is well reproduced. In case of the Internet, where the structure is far less well known, one indeed finds a modular structure, and modules can roughly be associated with individual countries. Quantitatively, the modular structure of the Internet manifests itself in an approximately 10 times larger participation ratio of its slowest decaying modes as compared to the null model-a random scale-free network. The extreme edges of the Internet are found to correspond to Russian and US military sites. (C) 2004 Elsevier B.V. All rights reserved.
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