A Fractal Space-filling Complex Network
| dc.creator | Soares, D. J. B. | |
| dc.creator | Filho, J. Ribeiro | |
| dc.creator | Moreira, A. A. | |
| dc.creator | Moreira, D. A. | |
| dc.creator | Corso, G. | |
| dc.date | 2005-08-15 | |
| dc.date.accessioned | 2026-07-07T03:06:17Z | |
| dc.date.available | 2026-07-07T03:06:17Z | |
| dc.description | We study in this work the properties of the $Q_{mf}$ network which is constructed from an anisotropic partition of the square, the multifractal tiling. This tiling is build using a single parameter $ρ$, in the limit of $ρ\to 1$ the tiling degenerates into the square lattice that is associated with a regular network. The $Q_{mf}$ network is a space-filling network with the following characteristics: it shows a power-law distribution of connectivity for $k>7$ and it has an high clustering coefficient when compared with a random network associated. In addition the $Q_{mf}$ network satisfy the relation $N \propto \ell^{d_f}$ where $\ell$ is a typical length of the network (the average minimal distance) and $N$ the network size. We call $d_f$ the fractal dimension of the network. In tne limit case $ρ\to 1$ we have $d_{f} \to 2$. | |
| dc.description | 10 pages, 5 figures and 1 table | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0508359 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0508359 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26754 | |
| dc.subject | Statistical Mechanics | |
| dc.title | A Fractal Space-filling Complex Network | |
| dc.type | text |