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 …

Our ability to control complex systems is a fundamental challenge of contemporary science.
Recently introduced tools to identify the driver nodes, nodes through which we can achieve …

The hypergraph offers a platform to study structural properties emerging from more
complicated and higher-order than pairwise interactions among constituents and dynamical …

Controlling complex systems is a fundamental challenge of network science. Recent
advances indicate that control over the system can be achieved through a minimum driver …

An articulation point in a network is a node whose removal disconnects the network. Those
nodes play key roles in ensuring connectivity of many real-world networks, from …

Humans communicate using systems of interconnected stimuli or concepts—from language
and music to literature and science—yet it remains unclear how, if at all, the structure of …

We study the Kuramoto model on complex networks, in which natural frequencies of phase
oscillators and the vertex degrees are correlated. Using the annealed network …

We reconsider the problem of percolation on an equilibrium random network with degree-
degree correlations between nearest-neighboring vertices focusing on critical singularities …

We analytically solve the core percolation problem for complex networks with arbitrary
degree distributions. We find that purely scale-free networks have no core for any degree …

Recently, hypergraphs have attracted considerable interest from the research community as
a generalization of networks capable of encoding higher-order interactions, which …