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Topological properties of citation and metabolic networks

Bilke, Sven LU and Peterson, Carsten LU (2001) In Physical Review E 64(3).
Abstract
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.... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
SMALL-WORLD NETWORKS
in
Physical Review E
volume
64
issue
3
publisher
American Physical Society
external identifiers
  • wos:000171136400020
  • scopus:0035443512
ISSN
1063-651X
DOI
10.1103/PhysRevE.64.036106
language
English
LU publication?
yes
id
2bf96da2-8e40-494b-9fb7-d873910f32e4 (old id 2376262)
date added to LUP
2012-03-23 09:45:10
date last changed
2018-03-11 04:07:13
@article{2bf96da2-8e40-494b-9fb7-d873910f32e4,
  abstract     = {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.},
  author       = {Bilke, Sven and Peterson, Carsten},
  issn         = {1063-651X},
  keyword      = {SMALL-WORLD NETWORKS},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Topological properties of citation and metabolic networks},
  url          = {http://dx.doi.org/10.1103/PhysRevE.64.036106},
  volume       = {64},
  year         = {2001},
}