Percolation in multiplex networks with overlap

Davide Cellai, Eduardo López, Jie Zhou, James P. Gleeson, and Ginestra Bianconi
Phys. Rev. E 88, 052811 – Published 25 November 2013

Abstract

From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a set of nodes interacting through different networks (layers). Multiplexes may display an increased fragility with respect to the single layers that constitute them. However, so far the overlap of the links in different layers has been mostly neglected, despite the fact that it is an ubiquitous phenomenon in most multiplexes. Here, we show that the overlap among layers can improve the robustness of interdependent multiplex systems and change the critical behavior of the percolation phase transition in a complex way.

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  • Received 24 July 2013

DOI:https://doi.org/10.1103/PhysRevE.88.052811

©2013 American Physical Society

Authors & Affiliations

Davide Cellai1, Eduardo López2,3, Jie Zhou1, James P. Gleeson1, and Ginestra Bianconi4

  • 1MACSI, Department of Mathematics and Statistics, University of Limerick, Ireland
  • 2CABDyN Complexity Centre, Saïd Business School, University of Oxford, Oxford OX1 1HP, United Kingdom
  • 3Physics Department, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, United Kingdom
  • 4School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, United Kingdom

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Issue

Vol. 88, Iss. 5 — November 2013

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