title: Connecting core percolation and controllability of complex networks.
abstract: Core percolation is a fundamental structural transition in complex networks related to a wide range of important problems. Recent advances have provided us an analytical framework of core percolation in uncorrelated random networks with arbitrary degree distributions. Here we apply the tools in analysis of network controllability. We confirm analytically that the emergence of the bifurcation in control coincides with the formation of the core and the structure of the core determines the control mode of the network. We also derive the analytical expression related to the controllability robustness by extending the deduction in core percolation. These findings help us better understand the interesting interplay between the structural and dynamical properties of complex networks.
authors.affiliation: 1] Social Cognitive Networks Academic Research Center, Rensselaer Polytechnic Institute, Troy, NY, 12180 USA [2] Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY, 12180 USA [3] Center for Complex Network Research and Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.
authors.forename: Tao
authors.initials: T
authors.lastname: Jia
authors.affiliation: 1] Center for Complex Network Research and Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA [2] Department of Physics of Complex Systems, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary [3] Department of Theoretical Physics, Budapest University of Technology and Economics, Budafoki ut 8, Budapest H-1111, Hungary.
authors.forename: Márton
authors.initials: M
authors.lastname: Pósfai