https://doi.org/10.1140/epjb/e2005-00188-1
Properties of weighted structured scale-free networks
Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu
730000, China
Corresponding author: a wupiao2004@yahoo.com.cn
Received:
16
November
2004
Revised:
19
January
2005
Published online:
6
July
2005
A simple model for weighted structured scale-free (WSSF) networks is
proposed. The growth dynamics of the network is based on a naive weight-driven
deactivation mechanism which couples the establishment of new active vertices
and the weights' dynamical evolution. Simulations show that all the interesting
statistical properties of the generated network (vertices degree,
vertices strength and links weight) display good right-skewed distribution
observed in many realistic systems. Particularly, if the constant bias factor
in deactivation probability is appropriately chosen, a power law distribution
for vertices total degree k with the exponent
is obtained. As a survey of the model, the epidemic spreading process in
WSSF networks is studied based on the standard susceptible-infected (SI)
model. The spreading velocity reaches a peak very quickly after the infection
outbreaks which is similar to the case of infection propagation in other
heterogeneous networks; and in the long time propagation it decays
approximately with an exponential form.
PACS: 89.75.Hc – Networks and genealogical trees / 87.23.Kg – Dynamics of evolution / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005