Spectra of climate networks

Abstract Spectra of climate networks are closely related with dynamics of climate system. Surprisingly, the largest and the second smallest spectra play key roles in determining structure and evolution of climate networks. Therefore spectral analysis of complex climate networks can provide a cost-effective approach to diagnose dynamic mechanisms of large-scale climate system, and then predict future evolutions. In this chapter, we will introduce spectrum-based estimates for fundamental measurements of large-scale climate networks, including vertex degree, path length, diameter, connectivity, spanning tree, centrality and partition.