https://doi.org/10.1140/epjb/e2004-00018-0
Multi-component static model for social networks
School of Physics and Center for Theoretical Physics,
Seoul National University, Seoul 151-747, Korea
Corresponding author: a kahng@phya.snu.ac.kr
Received:
27
October
2003
Published online:
17
February
2004
The static model was introduced to generate a scale-free
network. In the model, N number of vertices are present from the
beginning. Each vertex has its own weight, representing how much
the vertex is influential in a system. The static model, however,
is not relevant, when a complex network is composed of many
modules such as communities in social networks. An individual may
belong to more than one community and has distinct weights for
each community. Thus, we generalize the static model by assigning
a q-component weight on each vertex. We first choose a component
among the q components at random and a pair of vertices
is linked with a color μ according to their weights of the
component
as in the static model. A
fraction of
the entire edges is connected following this way. The remaining
fraction f is added with (q+1)-th color as in the static model
but using the maximum weights among the q components each
individual has. The social activity with such maximum weights is
an essential ingredient to enhance the assortativity coefficient
as large as the ones of real social networks.
PACS: 89.65.-s – Social and economic systems / 89.75.Hc – Networks and genealogical trees / 89.75.Da – Systems obeying scaling laws
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004