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Comparing community structure identification
TLDR
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.
Multilayer networks
TLDR
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.
Synchronization in complex networks
TLDR
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.
Community detection in complex networks using extremal optimization.
  • J. Duch, A. Arenas
  • Mathematics, Medicine
    Physical review. E, Statistical, nonlinear, and…
  • 16 January 2005
TLDR
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.
Self-similar community structure in a network of human interactions.
TLDR
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.
Models of social networks based on social distance attachment.
TLDR
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.
Analysis of the structure of complex networks at different resolution levels
TLDR
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.
Mathematical Formulation of Multilayer Networks
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,
Synchronization reveals topological scales in complex networks.
TLDR
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.
The effect of size heterogeneity on community identification in complex networks
TLDR
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.
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