%A FANG Jin-qing, BI Qiao, LI Yong %T Advances in theoretical models of network science %0 Journal Article %D 2007 %J Front. Phys. %J Frontiers of Physics %@ 2095-0462 %R 10.1007/s11467-007-0006-7 %P 109-124 %V 2 %N 1 %U {https://journal.hep.com.cn/fop/EN/10.1007/s11467-007-0006-7 %8 2007-03-05 %X In this review article, we will summarize the main advances in network science investigated by the CIAE Group of Complex Network in this field. Several theoretical models of network science were proposed and their topological and dynamical properties are reviewed and compared with the other models. Our models mainly include a harmonious unifying hybrid preferential model, a large unifying hybrid network model, a quantum interference network, a hexagonal nanowire network, and a small-world network with the same degree. The models above reveal some new phenomena and findings, which are useful for deeply understanding and investigating complex networks and their applications.