4 citations · 7 across the 5 of their papers we have counts for
3 papers · 1 filter
Graphicality of power-law and double power-law degree sequences
Pietro Valigi, M. Ángeles Serrano, Claudio Castellano +1
The graphicality problem -- whether or not a sequence of integers can be used to create a simple graph -- is a key question in network theory and combinatorics, with many important…
Local equations for the generalized Lotka-Volterra model on sparse asymmetric graphs
David Machado, Pietro Valigi, Tommaso Tonolo +1
Real ecosystems are characterized by sparse and asymmetric interactions, posing a major challenge to theoretical analysis. We introduce a new method to study the generalized Lotka-…
Eigenvalue spectral tails and localization properties of asymmetric networks
Pietro Valigi, Joseph W. Baron, Izaak Neri +2
In contrast to the neatly bounded spectra of densely populated large random matrices, sparse random matrices often exhibit unbounded eigenvalue tails on the real and imaginary axis…