Analysis of Erdös Collaboration Graph and the Paper Citation Network

Network science is essential in many civil and military applications due to its great help to complex systems with network-based structures. Our research is mainly about establishing network models to measure influence and impact. We establish two models to evaluate the significance of nodes for directed network(e.g:paper citation network) and undirected network(e.g:friend circle) respectively. Our models have relative accurate assessment on the influence of nodes in a specific network and are of great expansion ability and can be applied to different sets. These models are useful in solving practical problems.