Observability transition in multiplex networks

Saeed Osat and Filippo Radicchi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 503, issue C, 745-761

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.

Keywords: phase transition; Multiplex networks; Observability; Message passing (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:503:y:2018:i:c:p:745-761

DOI: 10.1016/j.physa.2018.02.157

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