Journal
NEW JOURNAL OF PHYSICS
Volume 14, Issue -, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/14/3/033027
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Funding
- NRF [2009-0080801, 2011-0014191]
- MEST
- NRF, MEST [2011-0007174]
- National Research Foundation of Korea [2009-0080801, 2011-0014191] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Nodes in a complex networked system often engage in more than one type of interactions among them; they form a multiplex network with multiple types of links. In real-world complex systems, a node's degree for one type of links and that for the other are not randomly distributed but correlated, which we term correlated multiplexity. In this paper, we study a simple model of multiplex random networks and demonstrate that the correlated multiplexity can drastically affect the properties of a giant component in the network. Specifically, when the degrees of a node for different interactions in a duplex Erdos-Renyi network are maximally correlated, the network contains the giant component for any nonzero link density. In contrast, when the degrees of a node are maximally anti-correlated, the emergence of the giant component is significantly delayed, yet the entire network becomes connected into a single component at a finite link density. We also discuss the mixing patterns and the cases with imperfect correlated multiplexity.
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