Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Networked structures arise in a wide array of different contexts such as technological and
transportation infrastructures, social phenomena, and biological systems. These highly …

Spatially or chemically isolated functional modules composed of several cellular
components and carrying discrete functions are considered fundamental building blocks of …

From the Internet to networks of friendship, disease transmission, and even terrorism, the
concept--and the reality--of networks has come to pervade modern society. But what exactly …

We review the recent rapid progress in the statistical physics of evolving networks. Interest
has focused mainly on the structural properties of complex networks in communications …

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

Many real networks in nature and society share two generic properties: they are scale-free
and they display a high degree of clustering. We show that these two features are the …

The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

In this work we present a simple and fast computational method, the visibility algorithm, that
converts a time series into a graph. The constructed graph inherits several properties of the …

How can we generate realistic networks? In addition, how can we do so with a
mathematically tractable model that allows for rigorous analysis of network properties? Real …