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- Michigan State UniversityUS128 papers
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6 papers · 1 filter
Correlations in weighted networks
M. Angeles Serrano, Marian Boguna, Romualdo Pastor-Satorras
We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated we…
Clustering in complex networks. II. Percolation properties
M. Angeles Serrano, Marian Boguna
The percolation properties of clustered networks are analyzed in detail. In the case of weak clustering, we present an analytical approach that allows to find the critical threshol…
Clustering in complex networks. I. General formalism
M. Angeles Serrano, Marian Boguna
We develop a full theoretical approach to clustering in complex networks. A key concept is introduced, the edge multiplicity, that measures the number of triangles passing through…
Percolation and Epidemic Thresholds in Clustered Networks
M. Angeles Serrano, Marian Boguna
We develop a theoretical approach to percolation in random clustered networks. We find that, although clustering in scale-free networks can strongly affect some percolation propert…
Scale-free network growth by ranking
Santo Fortunato, Alessandro Flammini, Filippo Menczer
Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do…
Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the…