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http://dx.doi.org/10.6109/jicce.2021.19.4.205

Topology Characteristics and Generation Models of Scale-Free Networks  

Lee, Kang Won (Department of Industrial and Information Systems Engineering, Seoul National University of Science and Technology)
Lee, Ji Hwan (Department of Industrial and Information Systems Engineering, Seoul National University of Science and Technology)
Abstract
The properties of a scale-free network are little known; its node degree following a power-law distribution is among its few known properties. By selecting real-field scale-free networks from a network dataset and comparing them to other networks, such as random and non-scale-free networks, the topology characteristics of scale-free networks are identified. The assortative coefficient is identified as a key metric of a scale-free network. It is also identified that most scale-free networks have negative assortative coefficients. Traditional generation models of scale-free networks are evaluated based on the identified topology characteristics. Most representative models, such as BA and Holme&Kim, are not effective in generating real-field scale-free networks. A link-rewiring method is suggested that can control the assortative coefficient while preserving the node degree sequence. Our analysis reveals that it is possible to effectively reproduce the assortative coefficients of real-field scale-free networks through link-rewiring.
Keywords
Scale-free network; Power-law; Synthetic network; Network generation; Topology characteristics;
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