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- Romualdo Pastor-Satorras, Alessandro 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)

- Alain Barrat, Maud Barthélémy, Romualdo Pastor-Satorras, Alessandro 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)

- Romualdo Pastor-Satorras, Alessandro 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)

- Romualdo Pastor-Satorras, Alexei Vázquez, A . Vespignani
- Physical review letters
- 2001

The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. We focus on the topological and dynamical properties of real Internet maps in a three-year time interval. We study higher order correlation functions as well as the dynamics of several quantities. We find that the Internet is… (More)

- 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)

Romualdo Pastor-Satorras, Claudio Castellano, 3 Piet Van Mieghem, and Alessandro Vespignani 6 Departament de F́ısica i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord B4, 08034 Barcelona, Spain Istituto dei Sistemi Complessi (ISC-CNR), via dei Taurini 19, I-00185 Roma, Italy Dipartimento di Fisica, “Sapienza” Università di Roma, P.le… (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)

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

Many real networks present a bounded scale-free behavior with a connectivity cutoff due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cutoffs. The finite size effects introduced by the cutoff induce an epidemic threshold that approaches zero at increasing sizes.… (More)

- Marián Boguñá, Romualdo Pastor-Satorras, Albert Díaz-Guilera, Alex Arenas
- Physical review. E, Statistical, nonlinear, and…
- 2004

We propose a class of models of social network formation based on a mathematical abstraction of the concept of social distance. Social distance attachment is represented by the tendency of peers to establish acquaintances via a decreasing function of the relative distance in a representative social space. We derive analytical results (corroborated by… (More)

Dynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities – such as density, potential and particles – diffuse and interact according to the physical laws. Here, we study the behavior of two basic reaction-diffusion processes (B → A and A + B → 2B) defined on… (More)