title: Percolation in multiplex networks with overlap.
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.
authors: MACSI, Department of Mathematics and Statistics, University of Limerick, Ireland.
authors: Davide
authors: D
authors: Cellai
authors: CABDyN Complexity Centre, Saïd Business School, University of Oxford, Oxford OX1 1HP, United Kingdom and Physics Department, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, United Kingdom.
authors: Eduardo
authors: E
authors: López
authors: MACSI, Department of Mathematics and Statistics, University of Limerick, Ireland.
authors: Jie
authors: J
authors: Zhou
authors: MACSI, Department of Mathematics and Statistics, University of Limerick, Ireland.
authors: James P
authors: JP
authors: Gleeson
authors: School of Mathematical Sciences, Queen Mary University of London, London, E1 4NS, United Kingdom.
authors: Ginestra
authors: G
authors: Bianconi