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 …

Mathematics of epidemics on networks

IZ Kiss, JC Miller, PL Simon - Cham: Springer, 2017 - Springer
Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

Epidemic spreading on complex networks with community structures

C Stegehuis, R Van Der Hofstad… - Scientific reports, 2016 - nature.com
Many real-world networks display a community structure. We study two random graph
models that create a network with similar community structure as a given network. One …

Network of interdependent networks: overview of theory and applications

DY Kenett, J Gao, X Huang, S Shao, I Vodenska… - Networks of Networks …, 2014 - Springer
Complex networks appear in almost every aspect of science and technology. Previous work
in network theory has focused primarily on analyzing single networks that do not interact …

Effects of heterogeneous and clustered contact patterns on infectious disease dynamics

EM Volz, JC Miller, A Galvani… - PLoS computational …, 2011 - journals.plos.org
The spread of infectious diseases fundamentally depends on the pattern of contacts
between individuals. Although studies of contact networks have shown that heterogeneity in …

Correlated multiplexity and connectivity of multiplex random networks

KM Lee, JY Kim, W Cho, KI Goh, IM Kim - New Journal of Physics, 2012 - iopscience.iop.org
Nodes in a complex networked system often engage in more than one type of interactions
among them; they form a multiplex network with multiple types of links. In real-world complex …

Accuracy of mean-field theory for dynamics on real-world networks

JP Gleeson, S Melnik, JA Ward, MA Porter… - Physical Review E …, 2012 - APS
Mean-field analysis is an important tool for understanding dynamics on complex networks.
However, surprisingly little attention has been paid to the question of whether mean-field …

Cascades on a class of clustered random networks

A Hackett, S Melnik, JP Gleeson - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We present an analytical approach to determining the expected cascade size in a broad
range of dynamical models on the class of random networks with arbitrary degree …

The robustness of interdependent clustered networks

X Huang, S Shao, H Wang, SV Buldyrev… - Europhysics …, 2013 - iopscience.iop.org
It was recently found that cascading failures can cause the abrupt breakdown of a system of
interdependent networks. Using the percolation method developed for single clustered …

Epidemic Spread in Networks: Existing Methods and CurrentChallenges

JC Miller, IZ Kiss - Mathematical modelling of natural phenomena, 2014 - cambridge.org
We consider the spread of infectious disease through contact networks of Configuration
Model type. We assume that the disease spreads through contacts and infected individuals …