9 citations · 16 across the 3 of their papers we have counts for
10 papers
Analytic solution of the two-star model with correlated degrees
Maíra Bolfe, Fernando L. Metz, Edgar Guzmán-González +1
Exponential random graphs are important to model the structure of real-world complex networks. Here we solve the two-star model with degree-degree correlations in the sparse regime…
The spectral density of dense random networks and the breakdown of the Wigner semicircle law
Fernando L. Metz, Jeferson D. Silva
Although the spectra of random networks have been studied for a long time, the influence of network topology on the dense limit of network spectra remains poorly understood. By con…
Localization and universality of eigenvectors in directed random graphs
Fernando L. Metz, Izaak Neri
Although the spectral properties of random graphs have been a long-standing focus of network theory, the properties of right eigenvectors of directed graphs have so far eluded an e…
Superextreme Waves Generation in the Linear Regime
Cristian Bonatto, Sandra D. Prado, Fernando L. Metz +3
Extreme or rogue waves are large and unexpected waves appearing with higher probability than predicted by Gaussian statistics. Although their formation is explained by both linear…
Phase transitions in atypical systems induced by a condensation transition on graphs
Edgar Guzmán-González, Isaac Pérez Castillo, Fernando L. Metz
Random graphs undergo structural phase transitions that are crucial for dynamical processes and cooperative behavior of models defined on graphs. In this work we investigate the im…
Condensation of degrees emerging through a first-order phase transition in classical random graphs
Fernando L. Metz, Isaac Pérez Castillo
Due to their conceptual and mathematical simplicity, Erdös-Rényi or classical random graphs remain as a fundamental paradigm to model complex interacting systems in several areas.…