Exact coupling threshold for structural transition reveals diversified behaviors in interconnected networks - Sahneh, Faryad D.; Scoglio, Caterina; Van Mieghem, P. (My University, 2015)
Citation: Sahneh, F. D., Scoglio, C., & Van Mieghem, P. (2015). Exact coupling threshold for structural transition reveals diversified behaviors in interconnected networks. Physical Review E, 92(4), 5. doi:10.1103/PhysRevE.92.040801
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 Gomez 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.
Keywords: Interdependent Networks; Algebraic Connectivity; Failures; Graphs; Physics