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Observability transition in multiplex networks

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  • Osat, Saeed
  • Radicchi, Filippo

Abstract

We extend the observability model to multiplex networks composed of two network layers. We present mathematical frameworks, valid under the treelike ansatz, able to describe the emergence of the macroscopic cluster of mutually observable nodes in both synthetic and real-world multiplex networks. We show that the observability transition in synthetic multiplex networks is discontinuous. In real-world multiplex networks instead, edge overlap among layers is responsible for the disappearance of any sign of abruptness in the emergence of the macroscopic cluster of mutually observable nodes.

Suggested Citation

  • Osat, Saeed & Radicchi, Filippo, 2018. "Observability transition in multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 745-761.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:745-761
    DOI: 10.1016/j.physa.2018.02.157
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    1. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    2. Min, Byungjoon & Lee, Sangchul & Lee, Kyu-Min & Goh, K.-I., 2015. "Link overlap, viability, and mutual percolation in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 72(C), pages 49-58.
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    4. Saeed Osat & Ali Faqeeh & Filippo Radicchi, 2017. "Optimal percolation on multiplex networks," Nature Communications, Nature, vol. 8(1), pages 1-7, December.
    5. Manlio De Domenico & Vincenzo Nicosia & Alexandre Arenas & Vito Latora, 2015. "Structural reducibility of multilayer networks," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
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    Cited by:

    1. Hasegawa, Takehisa & Iwase, Yuta, 2021. "Observability transitions in clustered networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).

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