The combination of the compactness of networks, featuring small diameters, and their
complex architectures results in a variety of critical effects dramatically different from those in …

We investigate topologically biased failure in scale-free networks with a degree distribution
P (k)∝ k-γ. The probability p that an edge remains intact is assumed to depend on the …

The critical edges in complex networks are extraordinary edges which play more significant
role than other edges on the structure and function of networks. The research on identifying …

Edges in a network can be divided into two kinds according to their different roles: some
enhance the locality like the ones inside a cluster while others contribute to the global …

Diffusion on networks is an important concept in network science observed in many
situations such as information spreading and rumor controlling in social networks, disease …

Diffusion is a key element of a large set of phenomena occurring on natural and social
systems modeled in terms of complex weighted networks. Here, we introduce a general …

We study the dynamics of the voter and Moran processes running on top of complex network
substrates where each edge has a weight depending on the degree of the nodes it …

We consider nonequilibrium phase transitions, such as epidemic spreading, in weighted
scale-free networks, in which highly connected nodes have a relatively smaller ability to …

We show that there are two classes of finite size effects for dynamic models taking place on
a scale-free topology. Some models in finite networks show a behavior that depends only on …

Influence maximization is an important problem in network science that aims to detect critical
structures, such as nodes and interactions, with a higher influence on diffusion. It has …