Before revision:  We consider both classical topological descriptors, such as the modularity and statistics of the shortest paths, and different interpretations in terms of diffusion provided by the well-known discrete heat kernel  . A principal component analysis shows high discrimination among the network types, either by considering the topological and heat kernel based  characterizations.
After revision:  We consider both classical topological descriptors, such as the modularity and statistics of the shortest paths, and different interpretations in terms of diffusion provided by the well-known discrete heat kernel , which is elaborated from the normalized graph Laplacians . A principal component analysis shows high discrimination among the network types, either by considering the topological and heat kernel based characterizations.