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Non-perturbative heterogeneous mean-field approach to epidemic spreading in complex networks
Sergio Gomez, Jesus Gomez-Gardenes, Yamir Moreno +1
Since roughly a decade ago, network science has focused among others on the problem of how the spreading of diseases depends on structural patterns. Here, we contribute to further…
Explosive Synchronization Transitions in Scale-free Networks
Jesus Gomez-Gardenes, Sergio Gomez, Alex Arenas +1
The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Lette…
Mesoscopic analysis of networks: applications to exploratory analysis and data clustering
Clara Granell, Sergio Gomez, Alex Arenas
We investigate the adaptation and performance of modularity-based algorithms, designed in the scope of complex networks, to analyze the mesoscopic structure of correlation matrices…
Reliability of optimal linear projection of growing scale-free networks
Pau Erola, Javier Borge-Holthoefer, Sergio Gomez +1
Singular Value Decomposition (SVD) is a technique based on linear projection theory, which has been frequently used for data analysis. It constitutes an optimal (in the sense of le…
Unsupervised clustering analysis: a multiscale complex networks approach
Clara Granell, Sergio Gomez, Alex Arenas
Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of…