Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-03-16
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 pages, 3 figures
Scientific paper
10.1103/PhysRevE.64.036106
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 \cite{barab} are probed. For completeness and comparisons lattice, random, 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 whereas the citation networks are tree-like in structure, the metabolic networks contain many loops.
Bilke Sven
Peterson Chris
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