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 1 2003 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Eguíluz, V. M., Hernández-García, E., Piro, O., & Klemm, K. (2003). Effective dimensions and percolation in hierarchically structured scale-free networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 68(5 2), 551021-551024. [055102].