title: Exact coupling threshold for structural transition reveals diversified behaviors in interconnected networks.
abstract: An interconnected network features a structural transition between two regimes [F. Radicchi and A. Arenas, Nat. Phys. 9, 717 (2013)]: one where the network components are structurally distinguishable and one where the interconnected network functions as a whole. Our exact solution for the coupling threshold uncovers network topologies with unexpected behaviors. Specifically, we show conditions that superdiffusion, introduced by Gómez et al. [Phys. Rev. Lett. 110, 028701 (2013)], can occur despite the network components functioning distinctly. Moreover, we find that components of certain interconnected network topologies are indistinguishable despite very weak coupling between them.
authors.affiliation: Electrical and Computer Engineering Department, Kansas State University, Manhattan, Kansas 66506, USA.
authors.forename: Faryad
authors.initials: F
authors.lastname: Darabi Sahneh
authors.affiliation: Electrical and Computer Engineering Department, Kansas State University, Manhattan, Kansas 66506, USA.
authors.forename: Caterina
authors.initials: C
authors.lastname: Scoglio
authors.affiliation: Faculty of Electrical Engineering, Mathematics, and Computer Science, Delft University of Technology, Delft, The Netherlands.
authors.forename: Piet
authors.initials: P
authors.lastname: Van Mieghem
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical