Sven Bilke and Carsten Peterson Topological Properties of Citation and Metabolic
NetworksPhysical Review E 64, 036106 (2001)Abstract: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 are probed. For completeness and
comparisons lattice, random, small-world models are also
investigated. We find that d_{S} is around three 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.LU TP 01-09 |