In the past ten years, as a tool to describe complex system, complex network has been accepted by researchers of society, politics, economics. It abstracts individuals into nodes and connections into links, which turns systems into networks. Complexity of networks originates from their topological structure, which is neither regular nor completely random. In the development of network theory, the first step starts with simple unweighted and indirected networks. The second step is to study complex weighted and indirected networks. The last step is to study complex weighted and directed networks. So far, researchers have made a lot of progress in the unweighted and indirected networks, while the research on weighted and
directed network just begun.
In this seminar, we will discuss an analytic solution of clustering coefficient of weighted networks, traffic fluctuations and diffusion-annihilation dynamics in weighted networks. Based on these discussions, we will introduce a deterministic weighted network model with the coevolution of topology and weight. In addition, we will introduce an interesting rumor evolution model at the end of this seminar.