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arXiv · 1409.6560

Exact Coupling Threshold for Structural Transition in Interconnected Networks

Faryad Darabi Sahneh·Caterina Scoglio·Piet Van Mieghem
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Abstract

Interconnected networks are mathematical representation of systems where two or more simple networks are coupled to each other. Depending on the coupling weight between the two components, the interconnected network can function in two regimes: one where the two networks are structurally distinguishable, and one where they are not. The coupling threshold--denoting this structural transition--is one of the most crucial concepts in interconnected networks. Yet, current information about the coupling threshold is limited. This letter presents an analytical expression for the exact value of the coupling threshold and outlines network interrelation implications.

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Faryad Darabi Sahneh, Caterina Scoglio, Piet Van Mieghem. 2014-09-23. Exact Coupling Threshold for Structural Transition in Interconnected Networks. https://doi.org/10.1103/physreve.92.040801

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