1.1k citations · 11.6k across the 67 of their papers we have counts for
21 papers · 1 filter
Statistical mechanics of directed networks
Marián Boguñá, M. Ángeles Serrano
Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Direc…
Multiscale unfolding of real networks by geometric renormalization
Guillermo García-Pérez, Marián Boguñá, M. Ángeles Serrano
Multiple scales coexist in complex networks. However, the small world property makes them strongly entangled. This turns the elucidation of length scales and symmetries a defiant c…
Simulating non-Markovian stochastic processes
Marian Boguna, Luis F. Lafuerza, Raul Toral +1
We present a simple and general framework to simulate statistically correct realizations of a system of non-Markovian discrete stochastic processes. We give the exact analytical so…
Clustering of random scale-free networks
Pol Colomer-de-Simon, Marian Boguna
We derive the finite size dependence of the clustering coefficient of scale-free random graphs generated by the configuration model with degree distribution exponent . Degre…
Epidemic spreading on interconnected networks
Anna Saumell-Mendiola, M. Ángeles Serrano, Marián Boguñá
Many real networks are not isolated from each other but form networks of networks, often interrelated in non trivial ways. Here, we analyze an epidemic spreading process taking pla…
Percolation in self-similar networks
M. Angeles Serrano, Dmitri Krioukov, Marian Boguna
We provide a simple proof that graphs in a general class of self-similar networks have zero percolation threshold. The considered self-similar networks include random scale-free gr…
Langevin approach for the dynamics of the contact process on annealed scale-free networks
Marian Boguna, Claudio Castellano, Romualdo Pastor-Satorras
We study the dynamics of the contact-process, one of the simplest nonequilibrium stochastic processes, taking place on a scale-free network. We consider the network topology as ann…
Navigating ultrasmall worlds in ultrashort time
Marian Boguna, Dmitri Krioukov
Random scale-free networks are ultrasmall worlds. The average length of the shortest paths in networks of size N scales as lnlnN. Here we show that these ultrasmall worlds can be n…
Self-similarity of complex networks and hidden metric spaces
M. Angeles Serrano, Dmitri Krioukov, Marian Boguna
We demonstrate that the self-similarity of some scale-free networks with respect to a simple degree-thresholding renormalization scheme finds a natural interpretation in the assump…
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…
Tuning clustering in random networks with arbitrary degree distributions
M. Angeles Serrano, Marian Boguna
We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the co…
Weighted Configuration Model
M. A. Serrano, M. Boguna
The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power…
Generalized percolation in random directed networks
M. Boguna, M. A. Serrano
We develop a general theory for percolation in directed random networks with arbitrary two point correlations and bidirectional edges, that is, edges pointing in both directions si…
Generation of uncorrelated random scale-free networks
Michele Catanzaro, Marian Boguna, Romualdo Pastor-Satorras
Uncorrelated random scale-free networks are useful null models to check the accuracy an the analytical solutions of dynamical processes defined on complex networks. We propose and…
Competition and adaptation in an Internet evolution model
M. Angeles Serrano, Marian Boguna, Albert Diaz-Guilera
We model the evolution of the Internet at the Autonomous System level as a process of competition for users and adaptation of bandwidth capability. We find the exponent of the degr…
Cut-offs and finite size effects in scale-free networks
Marian Boguna, Romualdo Pastor-Satorras, Alessandro Vespignani
We analyze the degree distribution's cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices is ruled by the topological const…
Class of correlated random networks with hidden variables
Marian Boguna, Romualdo Pastor-Satorras
We study a class models of correlated random networks in which vertices are characterized by \textit{hidden variables} controlling the establishment of edges between pairs of verti…
Topology of the World Trade Web
M. Angeles Serrano, Marian Boguna
Economy, and consequently trade, is a fundamental part of human social organization which, until now, has not been studied within the network modelling framework. Networks are math…