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Topological properties of citation and metabolic networks

Author

Summary, in English

Topological properties of "scale-free" networks are investigated by determining their spectral dimensions d(S), which reflect a diffusion process in the corresponding graphs. Data bases for citation networks and metabolic networks together with simulation results from the growing network model [A.-L. Barabasi and R. Albert, Science 286, 509 (1999)] are probed. For completeness and comparisons lattice, random and small-world models are also investigated. We find that d(S) is around 3 for citation and metabolic networks, which is significantly different from the growing network model, for which d(S) is approximately 7.5. This signals a substantial difference in network topology despite the observed similarities in vertex-order distributions. In addition, the diffusion analysis indicates that the citation networks are treelike in structure, whereas the metabolic networks contain many loops.

Publishing year

2001

Language

English

Publication/Series

Physical Review E

Volume

64

Issue

3

Document type

Journal article

Publisher

American Physical Society

Topic

  • Biophysics

Keywords

  • SMALL-WORLD NETWORKS

Status

Published

ISBN/ISSN/Other

  • ISSN: 1063-651X