Multiplexity versus correlation: the role of local constraints in real multiplexes

Scientific Reports
V Gemmetto, D Garlaschelli

Abstract

Several systems can be represented as multiplex networks, i.e. in terms of a superposition of various graphs, each related to a different mode of connection between nodes. Hence, the definition of proper mathematical quantities aiming at capturing the added level of complexity of those systems is required. Various steps in this direction have been made. In the simplest case, dependencies between layers are measured via correlation-based metrics, a procedure that we show to be equivalent to the use of completely homogeneous benchmarks specifying only global constraints. However, this approach does not take into account the heterogeneity in the degree and strength distributions, which is instead a fundamental feature of real-world multiplexes. In this work, we compare the observed dependencies between layers with the expected values obtained from maximum-entropy reference models that appropriately control for the observed heterogeneity in the degree and strength distributions. This information-theoretic approach results in the introduction of novel and improved multiplexity measures that we test on different datasets, i.e. the International Trade Network and the European Airport Network. Our findings confirm that the use of homog...Continue Reading

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Citations

Aug 26, 2016·Scientific Reports·Liang ZhuDing-Ding Han
Sep 17, 2015·PloS One·Franco RuzzenentiGiampaolo Gabbi
Apr 25, 2017·Scientific Reports·Massimo StellaMarkus Brede
Sep 1, 2019·Scientific Reports·Zeynab Samei, Mahdi Jalili
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Faryad Darabi SahnehPiet Van Mieghem
Nov 15, 2016·Physical Review. E·Valerio GemmettoDiego Garlaschelli
Sep 19, 2018·Royal Society Open Science·Piotr BródkaGiancarlo Ragozini
Jun 10, 2017·Physical Review Letters·Kaj-Kolja KleinebergM Ángeles Serrano

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