Abstract: The dynamic behavior of nodes can significantly influence the topological structure in a network. In order to study this process, four friendship networks with same nodes and different topologies have been constructed. Comparison reveals that 1) the normal-friendship network is a small-world network, 2) the connected structure becomes disconnected along with the increasing of relationship intimacy, and 3) both average degree and clustering coefficient are becoming smaller while the average path length is getting larger. In addition, the degree correlations of the first three networks are negative correlated.