  Network topology and nodal dynamics are two fundamental stones of adaptive
networks. Detailed and accurate knowledge of these two ingredients is crucial
for understanding the evolution and mechanism of adaptive networks. In this
paper, by adopting the framework of the adaptive SIS model proposed by Gross et
al. [Phys. Rev. Lett. 96, 208701 (2006)] and carefully utilizing the
information of degree correlation of the network, we propose a link-based
formalism for describing the system dynamics with high accuracy and subtle
details. Several specific degree correlation measures are introduced to reveal
the coevolution of network topology and system dynamics.
