It is found that the most accurate methods tend to be more computationally expensive, and that both aspects need to be considered when choosing a method for practical purposes.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

The advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology are reported and the new emergent features coming out from the interplay between the structure and the function of the underlying pattern of connections are overviewed.Expand

The method outperforms the optimal modularity found by the existing algorithms in the literature and is feasible to be used for the accurate identification of community structure in large complex networks.Expand

The results reveal the self-organization of the network into a state where the distribution of community sizes is self-similar, suggesting that a universal mechanism, responsible for emergence of scaling in other self-organized complex systems, as, for instance, river networks, could also be the underlying driving force in the formation and evolution of social networks.Expand

Analytical results are derived, showing that the proposed class of models of social network formation reproduces the main statistical characteristics of real social networks: large clustering coefficient, positive degree correlations, and the emergence of a hierarchy of communities.Expand

This work proposes a method that allows for multiple resolution screening of the modular structure, and its application to two real social networks allows to find the exact splits reported in the literature, as well as the substructure beyond the actual split.Expand

A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity,… Expand

The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators and provides a useful connection between synchronization dynamics, complex networks topology, and spectral graph analysis.Expand

This work proposes a simple modification of the algorithm proposed by Newman for community detection which treats communities of different sizes on an equal footing, and shows that it outperforms the original algorithm while retaining its speed.Expand