38 citations · 97 across the 13 of their papers we have counts for
4 papers · 1 filter
Effects of clustering heterogeneity on the spectral density of sparse networks
Tuan Minh Pham, Thomas Peron, Fernando L. Metz
We derive exact equations for the spectral density of sparse networks with an arbitrary distribution of the number of single edges and triangles per node. These equations enable a…
Mean-field theory of vector spin models on networks with arbitrary degree distributions
Fernando L. Metz, Thomas Peron
Understanding the relationship between the heterogeneous structure of complex networks and cooperative phenomena occurring on them remains a key problem in network science. Mean-fi…
Statistical properties of mutualistic-competitive random networks
C. T. Martínez-Martínez, J. A. Méndez-Bermúdez, Thomas Peron +1
Mutualistic networks are used to study the structure and processes inherent to mutualistic relationships. In this paper, we introduce a random matrix ensemble (RME) representing th…
Spacing ratio characterization of the spectra of directed random networks
Thomas Peron, Bruno Messias F. de Resende, Francisco A. Rodrigues +2
Previous literature on random matrix and network science has traditionally employed measures derived from nearest-neighbor level spacing distributions to characterize the eigenvalu…