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Constructing Scale-Free Networks With A Given Cluster Coefficient

Author

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  • MOHAMMAD ARIAPOUR

    (Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran)

  • EHSAN NEDAAEE OSKOEE

    (Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran)

Abstract

We introduce a new generation rule for local thresholding in scale-free networks based on the nodes' degree. The resulting networks are disassortative with a hierarchical structure. There is, however, a subnet of the nodes, which we call the active nodes, which is neither disassortative nor has such a structure. It is shown that networks with a wide range of cluster coefficients, ranging from very small to close to unity and with scaling exponent from 2.5 to 4 are generated by the new method, which mimic some important real-world networks.

Suggested Citation

  • Mohammad Ariapour & Ehsan Nedaaee Oskoee, 2013. "Constructing Scale-Free Networks With A Given Cluster Coefficient," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(02), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:02:n:s0129183113500034
    DOI: 10.1142/S0129183113500034
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    References listed on IDEAS

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    1. Caldarelli, Guido, 2007. "Scale-Free Networks: Complex Webs in Nature and Technology," OUP Catalogue, Oxford University Press, number 9780199211517.
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