In recent years the research community has accumulated overwhelming evidence for the
emergence of complex and heterogeneous connectivity patterns in a wide range of …

We survey the concept of assortativity, starting from its original definition by Newman in
2002. Degree assortativity is the most commonly used form of assortativity. Degree …

Professor Barabási's talk described how the tools of network science can help understand
the Web's structure, development and weaknesses. The Web is an information network, in …

This concise and self-contained introduction builds up the spectral theory of graphs from
scratch, with linear algebra and the theory of polynomials developed in the later parts. The …

Serious epidemics, both in cyber space as well as in our real world, are expected to occur
with high probability, which justifies investigations in virus spread models in (contact) …

The decrease of the spectral radius, an important characterizer of network dynamics, by
removing links is investigated. The minimization of the spectral radius by removing m links is …

Determining a set of “important” nodes in a network constitutes a basic endeavor in network
science. Inspired by electrical flows in a resistor network, we propose the best conducting …

We introduce the ɛ-susceptible-infected-susceptible (SIS) spreading model, which is taken
as a benchmark for the comparison between the N-intertwined approximation and the Pastor …

Abnormally strong neural synchronization may impair brain function, as observed in several
brain disorders. We computationally study how neuronal dynamics, synaptic weights, and …

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 …