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Measuring and modeling correlations in multiplex networks

Open access
Nicosia, Vincenzo, Latora, Vito·2015·Physical Review E

Abstract

The interactions among the elementary components of many complex systems can be qualitatively different. Such systems are therefore naturally described in terms of multiplex or multilayer networks, i.e., networks where each layer stands for a different type of interaction between the same set of nodes. There is today a growing interest in understanding when and why a description in terms of a multiplex network is necessary and more informative than a single-layer projection. Here we contribute to this debate by presenting a comprehensive study of correlations in multiplex networks. Correlations in node properties, especially degree-degree correlations, have been thoroughly studied in single-layer networks. Here we extend this idea to investigate and characterize correlations between the different layers of a multiplex network. Such correlations are intrinsically multiplex, and we first study them empirically by constructing and analyzing several multiplex networks from the real world. In particular, we introduce various measures to characterize correlations in the activity of the nodes and in their degree at the different layers and between activities and degrees. We show that real-world networks exhibit indeed nontrivial multiplex correlations. For instance, we find cases where two layers of the same multiplex network are positively correlated in terms of node degrees, while other two layers are negatively correlated. We then focus on constructing synthetic multiplex networks, proposing a series of models to reproduce the correlations observed empirically and/or to assess their relevance.

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Metadata

Authors
Nicosia, V., & Latora, V.
Venue
Physical Review E
Published
2015-09-11
Volume
92
Issue
3
Pages
032805-032805
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W1839609872
Cited by
258
References
8
FWCI
22.02
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Measuring and modeling correlations in multiplex networks. https://app.cochat.ai/papers/10.1103/physreve.92.032805
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Nicosia, V., & Latora, V. (2015). Measuring and modeling correlations in multiplex networks. Physical Review E. https://doi.org/10.1103/physreve.92.032805

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