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 …

The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

The emergence of large-scale connectivity on an underlying network or lattice, the so-called
percolation transition, has a profound impact on the system's macroscopic behaviours …

How a complex network is connected crucially impacts its dynamics and function.
Percolation, the transition to extensive connectedness on gradual addition of links, was long …

We study four Achlioptas-type processes with “explosive” percolation transitions. All
transitions are clearly continuous, but their finite size scaling functions are not entirely …

When dynamics in a system proceeds under suppressive external bias, the system can
undergo an abrupt phase transition, as can happen when an epidemic spreads. Recently …

A fundamental problem in network science is to predict how certain individuals are able to
initiate new networks to spring up “new ideas.” Frequently, these changes in trends are …

Percolation on a one-dimensional lattice and fractals, such as the Sierpinski gasket, is
typically considered to be trivial, because they percolate only at full bond density. By …

We generalize the random graph evolution process of Bohman, Frieze, and Wormald [T.
Bohman, A. Frieze, and NC Wormald, Random Struct. Algorithms, 25, 432 (2004) RSALFD …