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- R Pastor-Satorras, A Vespignani
- Physical review letters
- 2001

The Internet has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the spreading of computer viruses. We analyze real data from computer virus infections and find the average lifetime and persistence of viral strains on the… (More)

- A Barrat, M Barthélemy, R Pastor-Satorras, A Vespignani
- Proceedings of the National Academy of Sciences…
- 2004

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great deal of attention that has uncovered and characterized their topological complexity. Along with a complex topological… (More)

BACKGROUND
Digital networks, mobile devices, and the possibility of mining the ever-increasing amount of digital traces that we leave behind in our daily activities are changing the way we can approach the study of human and social interactions. Large-scale datasets, however, are mostly available for collective and statistical behaviors, at coarse… (More)

- Alain Barrat, Marc BarthÃ©lemy, Alessandro Vespignani

The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical...

- Romualdo Pastor-Satorras, Alessandro Vespignani
- Physical review. E, Statistical, nonlinear, and…
- 2002

Complex networks such as the sexual partnership web or the Internet often show a high degree of redundancy and heterogeneity in their connectivity properties. This peculiar connectivity provides an ideal environment for the spreading of infective agents. Here we show that the random uniform immunization of individuals does not lead to the eradication of… (More)

We introduce a graph generating model aimed at representing the evolution of protein interaction networks. The model is based on the hypotesis of evolution by duplications and divergence of the genes which produce proteins. The obtained graphs shows multifractal properties recovering the absence of a characteristic connectivity as found in real data of… (More)

- M. Ángeles Serrano, Marián Boguñá, Alessandro Vespignani
- Proceedings of the National Academy of Sciences…
- 2009

A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In recent years, the study of an increasing number of large-scale networks has highlighted the statistical heterogeneity of… (More)

Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication in-frastructures is the key issue for the understanding of their fabric and dynamical properties [1, 2, 3, 4, 5]. The " rich-club " phenomenon refers to the tendency of nodes with high… (More)

- R Pastor-Satorras, A Vespignani
- Physical review. E, Statistical, nonlinear, and…
- 2001

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold defining a critical point below that the infection prevalence is null. On the contrary, on a wide range of scale-free… (More)

- Alexei Vázquez, Romualdo Pastor-Satorras, Alessandro Vespignani
- Physical review. E, Statistical, nonlinear, and…
- 2002

We study the large-scale topological and dynamical properties of real Internet maps at the autonomous system level, collected in a 3-yr time interval. We find that the connectivity structure of the Internet presents statistical distributions settled in a well-defined stationary state. The large-scale properties are characterized by a scale-free topology… (More)