2005/08/15 by D. J. B. Soares, Soares, D. J. B., J. Ribeiro Filho +9
Biochemistry, Genetics and Molecular Biology · Computer Science · Materials Science · Physics and Astronomy · #Cellular Automata and Applications #DNA and Biological Computing #FOS: Physical sciences #Quasicrystal Structures and Properties #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0508359
10 pages, 5 figures and 1 table
arxiv created 2005/08/15 · openalex publication_date 2005/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study in this work the properties of the Qmf 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→ 1 the tiling degenerates into the square lattice that is associated with a regular network. The Qmf 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 Qmf network satisfy the relation N ∝ ℓdf where ℓ is a typical length of the network (the average minimal distance) and N the network size. We call df the fractal dimension of the network. In tne limit case ρ→ 1 we have df → 2.