Abstract
The dimensionality and percolation based fractal properties of hierarchically structured scale-free networks were studied. Inspite of displaying the nontrivial character, based on scale-free connectivity, the complex network under study was approximately one-dimensional. The dimensional characterization was in agreement with the site-percolation statistics. In this regard, the dimensional analysis of the Klemm-Eguíluz (KE) network was discussed. The study proved that some of the dynamical properties of the under studied class of networks can be analyzed in the light of dimensional analysis.
| Original language | English |
|---|---|
| Article number | 055102 |
| Pages (from-to) | 551021-551024 |
| Number of pages | 4 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 68 |
| Issue number | 5 2 |
| Publication status | Published - Nov 2003 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Effective dimensions and percolation in hierarchically structured scale-free networks. / Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste; Klemm, Konstantin.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 5 2, 055102, 11.2003, p. 551021-551024.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Effective dimensions and percolation in hierarchically structured scale-free networks
AU - Eguíluz, Víctor M.
AU - Hernández-García, Emilio
AU - Piro, Oreste
AU - Klemm, Konstantin
PY - 2003/11
Y1 - 2003/11
N2 - The dimensionality and percolation based fractal properties of hierarchically structured scale-free networks were studied. Inspite of displaying the nontrivial character, based on scale-free connectivity, the complex network under study was approximately one-dimensional. The dimensional characterization was in agreement with the site-percolation statistics. In this regard, the dimensional analysis of the Klemm-Eguíluz (KE) network was discussed. The study proved that some of the dynamical properties of the under studied class of networks can be analyzed in the light of dimensional analysis.
AB - The dimensionality and percolation based fractal properties of hierarchically structured scale-free networks were studied. Inspite of displaying the nontrivial character, based on scale-free connectivity, the complex network under study was approximately one-dimensional. The dimensional characterization was in agreement with the site-percolation statistics. In this regard, the dimensional analysis of the Klemm-Eguíluz (KE) network was discussed. The study proved that some of the dynamical properties of the under studied class of networks can be analyzed in the light of dimensional analysis.
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UR - http://www.scopus.com/inward/citedby.url?scp=0942267663&partnerID=8YFLogxK
M3 - Article
VL - 68
SP - 551021
EP - 551024
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 5 2
M1 - 055102
ER -