This work studies the scientific collaboration network and the world-wide air-transportation network, which are representative examples of social and large infrastructure systems, respectively, and defines appropriate metrics combining weighted and topological observables that enable it to characterize the complex statistical properties and heterogeneity of the actual strength of edges and vertices.Expand

It is found that modularity optimization may fail to identify modules smaller than a scale which depends on the total size of the network and on the degree of interconnectedness of the modules, even in cases where modules are unambiguously defined.Expand

Evidence of the occurrence of three classes of small-world networks, characterized by a vertex connectivity distribution that decays as a power law law, and the nature of such constraints may be the controlling factor for the emergence of different classes of networks are presented.Expand

The history of multilayer networks (and related concepts) is discussed and the exploding body of work on such networks is reviewed and attempts to generalize single-layer-network diagnostics to multilayers networks are reviewed.Expand

This work will expose thoroughly the current state of the understanding of how the spatial constraints affect the structure and properties of these networks, and review the most recent empirical observations and the most important models of spatial networks.Expand

A model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution and yields a nontrivial time evolution of vertices' properties and scale-free behavior for the weight, strength, and degree distributions.Expand

Abstract.We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is increasing with connectivity as a power law with an exponent $\eta$. We find that for… Expand

This work studies the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics, indicating that epidemics spread almost instantaneously in networks with scale-free degree distributions.Expand

The inclusion of air transportation is crucial in the assessment of the occurrence probability of global outbreaks and it is demonstrated that the more cooperative the strategy, the more effective are the containment results in all regions of the world, including those countries that made part of their resources available for global use.Expand

A stochastic computational framework for the forecast of global epidemics that considers the complete worldwide air travel infrastructure complemented with census population data and defines a set of quantitative measures able to characterize the level of heterogeneity and predictability of the epidemic pattern.Expand