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http://dx.doi.org/10.7840/kics.2016.41.7.754

Generalized Network Generation Method for Small-World Network and Scale-Free Network  

Lee, Kang-won (Seoul National University of Science & Technology)
Lee, Jae-hoon (Seoul National University of Science & Technology)
Choe, Hye-zin (Seoul National University of Science & Technology)
Abstract
To understand and analyze SNS(Social Network Service) two important classes of networks, small-world and scale-free networks have gained a lot of research interests. In this study, a generalized network generation method is developed, which can produce small-world network, scale-free network, or network with the properties of both small-world and scale-free by controlling two input parameters. By tuning one parameter we can represent the small-world property and by tuning the other one we can represent both scale-free and small-world properties. For the network measures to represent small-world and scale-free properties clustering coefficient, average shortest path distance and power-law property are used. Using the model proposed in this study we can have more clear understanding about relationships between small-world network and scale-free network. Using numerical examples we have verified the effects of two parameters on clustering coefficient, average shortest path distance and power-law property. Through this investigation it can be shown that small-world network, scale-free network or both can be generated by tuning two input parameters properly.
Keywords
Small-world network; Scale-free network; Network generation model; Clustering coefficient; Power-law;
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Times Cited By KSCI : 3  (Citation Analysis)
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