Correlated multiplexity and connectivity of multiplex random networks
- Authors
- Lee, Kyu-Min; Kim, Jung Yeol; Cho, Won-kuk; Goh, K-I; Kim, I-M
- Issue Date
- 16-3월-2012
- Publisher
- IOP PUBLISHING LTD
- Citation
- NEW JOURNAL OF PHYSICS, v.14
- Indexed
- SCIE
SCOPUS
- Journal Title
- NEW JOURNAL OF PHYSICS
- Volume
- 14
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/105288
- DOI
- 10.1088/1367-2630/14/3/033027
- ISSN
- 1367-2630
- Abstract
- 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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