Structural measures for multiplex networks.
TLDR
This paper presents a general framework to describe and study multiplex networks, whose links are either unweighted or weighted, and proposes a series of measures to characterize the multiplexicity of the systems in terms of basic node and link properties.Abstract:
Many real-world complex systems consist of a set of elementary units connected by relationships of different kinds. All such systems are better described in terms of multiplex networks, where the links at each layer represent a different type of interaction between the same set of nodes rather than in terms of (single-layer) networks. In this paper we present a general framework to describe and study multiplex networks, whose links are either unweighted or weighted. In particular, we propose a series of measures to characterize the multiplexicity of the systems in terms of (i) basic node and link properties such as the node degree, and the edge overlap and reinforcement, (ii) local properties such as the clustering coefficient and the transitivity, and (iii) global properties related to the navigability of the multiplex across the different layers. The measures we introduce are validated on a genuinely multiplex data set of Indonesian terrorists, where information among 78 individuals are recorded with respect to mutual trust, common operations, exchanged communications, and business relationships.read more
Citations
More filters
Journal ArticleDOI
The structure and dynamics of multilayer networks
Stefano Boccaletti,Ginestra Bianconi,Regino Criado,Regino Criado,C.I. del Genio,Jesús Gómez-Gardeñes,Miguel Romance,Miguel Romance,Irene Sendiña-Nadal,Irene Sendiña-Nadal,Zhen Wang,Massimiliano Zanin +11 more
TL;DR: This work offers a comprehensive review on both structural and dynamical organization of graphs made of diverse relationships (layers) between its constituents, and cover several relevant issues, from a full redefinition of the basic structural measures, to understanding how the multilayer nature of the network affects processes and dynamics.
Journal ArticleDOI
Multilayer Networks
TL;DR: In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications.
Journal ArticleDOI
Networks beyond pairwise interactions: Structure and dynamics
Federico Battiston,Giulia Cencetti,Iacopo Iacopini,Iacopo Iacopini,Vito Latora,Maxime Lucas,Alice Patania,Jean-Gabriel Young,Giovanni Petri +8 more
TL;DR: A complete overview of the emerging field of networks beyond pairwise interactions, and focuses on novel emergent phenomena characterizing landmark dynamical processes, such as diffusion, spreading, synchronization and games, when extended beyond Pairwise interactions.
Journal ArticleDOI
Evolutionary games on multilayer networks: a colloquium
TL;DR: In this paper, a colloquium is devoted to evolutionary games on multilayer networks, and in particular to the evolution of cooperation as one of the main pillars of modern human societies.
Journal ArticleDOI
Structural reducibility of multilayer networks
TL;DR: This work introduces a method based on quantum theory to reduce the number of layers to a minimum while maximizing the distinguishability between the multilayer network and the corresponding aggregated graph.
References
More filters