Distinct types of eigenvector localization in networks

  title={Distinct types of eigenvector localization in networks},
  author={Romualdo Pastor-Satorras and Claudio Castellano},
  booktitle={Scientific reports},
The spectral properties of the adjacency matrix provide a trove of information about the structure and function of complex networks. In particular, the largest eigenvalue and its associated principal eigenvector are crucial in the understanding of nodes' centrality and the unfolding of dynamical processes. Here we show that two distinct types of localization of the principal eigenvector may occur in heterogeneous networks. For synthetic networks with degree distribution P(q) ~ q… CONTINUE READING