Percolation of Double-Layer Networks with Different Topologies Under Random Attacks

ORAL

Abstract

We report on the effects of topology on failure propagation models for systems consisting of two interdependent networks, which are either SF networks with different parameters, or different types of networks. Pairs of interdependent networks are known to exhibit a percolation transition upon failure accumulation. The topology of the nets significantly change the critical density of failure for the total disruption of the two net composite system. When the system is not fully coupled, the existence of a very small fraction of SF network will hold the system from fragment. When the critical threshold $p_c$ doesn't change, robustness measure R is introduced. The consequences of the study may provide insights for future network architectures and their evolution to improve their robustness and enhancing the protection of critical infrastructure.

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Authors

  • Di Zhou

    • Center for Polymer Studies and Department of Physics, Boston University

  • Jianxi Gao

    • Boston University
    • Center for Polymer Studies and Department of Physics, Boston University

  • Shlomo Havlin

    • Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
    • Bar-Ilan University
    • Department of Physics, Bar-Ilan University, Ramat-Gan, Israel
    • Department of Physics, Bar-Ilan University, Romat-Gan 52900, Israel
    • Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
    • Mineva Center and Department of Physics, Bar-Ilan University

  • H.Eugene Stanley

    • Boston University
    • Center for Polmer Studies, Department of Physics, Boston University, Boston, MA
    • Boston University, Boston, MA 02215, USA
    • Center for Polymer Studies and Dept of Physics, Boston University
    • Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215 USA
    • Center for Polymer Studies and Department of Physics, Boston University