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 …

Cascading failure is a potentially devastating process that spreads on real-world complex
networks and can impact the integrity of wide-ranging infrastructures, natural systems and …

In most natural and engineered systems, a set of entities interact with each other in
complicated patterns that can encompass multiple types of relationships, change in time and …

Many real-world complex systems are best modeled by multiplex networks of interacting
network layers. The multiplex network study is one of the newest and hottest themes in the …

Networks are convenient mathematical models to represent the structure of complex
systems, from cells to societies. In the last decade, multilayer network science–the branch of …

Many real-world multilayer systems such as critical infrastructure are interdependent and
embedded in space with links of a characteristic length. They are also vulnerable to …

We present an efficient algorithm for simulating percolation transitions of mutually supporting
viable clusters on multiplex networks (also known as “catastrophic cascades on …

Much work has been devoted to modeling and analyzing properties of real complex
networks [1–3]. The tools from network science have been successfully applied to many …

We study the critical phenomena of viable clusters in multiplex two-dimensional lattices
using numerical simulations. We identify viable sites on multiplex lattices using two …

Son, Grassberger, and Paczuski Reply: In their Comment [1], Havlin and coworkers confirm
our claim [2] that percolation transiti Page 1 Son, Grassberger, and Paczuski Reply: In their …