The OSS movement is a phenomenon that challenges many traditional theories in
economics, software engineering, business strategy, and IT management. Thousands of …

The emergence of large-scale connectivity on an underlying network or lattice, the so-called
percolation transition, has a profound impact on the system's macroscopic behaviours …

We find the exact critical temperature T c of the nearest-neighbor ferromagnetic Ising model
on an “equilibrium” random graph with an arbitrary degree distribution P (k). We observe an …

Since its early ARPANET inception during the Cold War, the Internet has grown by a
staggering nine orders of magnitude. Today, the Internet and the World Wide Web pervade …

The science of social networks is a central field of sociological study, a major appli (cation of
random graph theory, and an emerging area of study by economists, statistical physicists …

Many real world complex systems such as critical infrastructure networks are embedded in
space and their components may depend on one another to function. They are also …

Many systems take the form of networks, including the Internet, distribution and transport
networks, neural networks, food webs, and social networks. The characterization and …

To analyze the role of assortativity in networks we introduce an algorithm which produces
assortative mixing to a desired degree. This degree is governed by one parameter p …

Rumor propagation in complex networks is studied analytically and numerically by using the
SIR model. Analytically, a mean-field theory is worked out by considering the influence of …

We present and investigate an extension of the classical random graph to a general class of
inhomogeneous random graph models, where vertices come in different types, and the …