Percolation on complex networks: Theory and application

M Li, RR Liu, L Lü, MB Hu, S Xu, YC Zhang - Physics Reports, 2021 - Elsevier
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Percolation in networks with local homeostatic plasticity

G Rapisardi, I Kryven, A Arenas - Nature Communications, 2022 - nature.com
Percolation is a process that impairs network connectedness by deactivating links or nodes.
This process features a phase transition that resembles paradigmatic critical transitions in …

Two transitions in spatial modular networks

B Gross, D Vaknin, SV Buldyrev… - New Journal of …, 2020 - iopscience.iop.org
Understanding the resilience of infrastructures, such as a transportation network, has
significant importance for our daily life. Recently, a homogeneous spatial network model …

Enhancing the robustness of a multiplex network leads to multiple discontinuous percolation transitions

I Kryven, G Bianconi - Physical Review E, 2019 - APS
Determining design principles that boost the robustness of interdependent networks is a
fundamental question of engineering, economics, and biology. It is known that maximizing …

Exact rank reduction of network models

E Valdano, A Arenas - Physical Review X, 2019 - APS
With the advent of the big data era, generative models of complex networks are becoming
elusive from direct computational simulation. We present an exact, linear-algebraic …

Critical Phenomena in Multilayer Networks

G Rapisardi - 2019 - e-theses.imtlucca.it
Network science has provided a set of powerful theoretical results for the description of
critical phenomena in complex systems. These represent fundamental tools for the design …