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Percolation on complex networks: Theory and application
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 …
as statistical physics, computer science, biology and sociology, from the perspective of the …
Mathematics of epidemics on networks
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 …
several branches of science, including physics, mathematics, biology and social sciences …
Epidemic spreading on complex networks with community structures
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 …
models that create a network with similar community structure as a given network. One …
Network of interdependent networks: overview of theory and applications
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 …
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
The spread of infectious diseases fundamentally depends on the pattern of contacts
between individuals. Although studies of contact networks have shown that heterogeneity in …
between individuals. Although studies of contact networks have shown that heterogeneity in …
Correlated multiplexity and connectivity of multiplex random networks
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 …
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
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 …
However, surprisingly little attention has been paid to the question of whether mean-field …
Cascades on a class of clustered random networks
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 …
range of dynamical models on the class of random networks with arbitrary degree …
The robustness of interdependent clustered networks
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 …
interdependent networks. Using the percolation method developed for single clustered …
Epidemic Spread in Networks: Existing Methods and CurrentChallenges
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 …
Model type. We assume that the disease spreads through contacts and infected individuals …