Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …

Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

It is nearly 20 years since the concept of a small-world network was first quantitatively
defined, by a combination of high clustering and short path length; and about 10 years since …

In the past years, network theory has successfully characterized the interaction among the
constituents of a variety of complex systems, ranging from biological to technological, and …

A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …

Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

Abstract Information cascades are important dynamical processes in complex networks. An
information cascade can describe the spreading dynamics of rumour, disease, memes, or …

The ultimate proof of our understanding of natural or technological systems is reflected in
our ability to control them. Although control theory offers mathematical tools for steering …

Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …