  Complex systems contain a lot of individuals and some interactions between
them. The structure of interactions can be modeled to be a network: nodes
represent individuals and links to be interaction between two individuals. This
paper tries to investigate how structure of interactions in the system will
affect the power-law behaviors based on the BS co-evolution model from points
of system size, the density of connectivity and the ways of connectivity of the
interaction network. The current experiments show that small size, high density
of connectivity and random connected way will weaken the power-law
distribution.
