This talk will be presented by Thomas Peron, Postdoctoral researcher at the University of São Paulo, and will take place on March 9 at 3 pm.
If you want to join the talk, please send an email to firstname.lastname@example.org.
Title: “Spectra and dynamics of networks with clustering”
The asymptotic behavior of dynamical processes in networks can be expressed in terms of spectral properties of the corresponding adjacency and Laplacian matrices. Although many theoretical results are known for the spectra of traditional configuration models, networks generated through these models fail to describe many topological features of real-world networks, in particular non-null values of the clustering coefficient. Here we investigate the effects of cycles of order three (triangles) in network spectra. By using an approach based on random matrix theory, we calculate the spectral distribution of the network adjacency matrix as a function of the average number of triangles attached to each node in the high connectivity regime and in the absence of modular structure and degree correlations. We also discuss the impact of triangles and higher-order cliques on bond-percolation and synchronization processes.