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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)
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author
and
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
  • pmid:11580393
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
2016-04-01 16:00:45
date last changed
2022-12-12 07:50:46
@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}},
  keywords     = {{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}},
  doi          = {{10.1103/PhysRevE.64.036106}},
  volume       = {{64}},
  year         = {{2001}},
}