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The Gini Coefficient'S Application To General Complex Networks

Author

Listed:
  • HAI-BO HU

    (Department of Electronic Engineering, Xi'an University of Technology, Xi'an 710048, China)

  • LIN WANG

    (Department of Electronic Engineering, Xi'an University of Technology, Xi'an 710048, China)

Abstract

The Gini coefficient, which was originally used in microeconomics to describe income inequality, is introduced into the research of general complex networks as a metric on the heterogeneity of network structure. Some parameters such as degree exponent and degree-rank exponent were already defined in the case of scale-free networks also as a metric on the heterogeneity. In scale-free networks, the Gini coefficient is proved to be equivalent to the parameters mentioned above, and moreover, a classification of infinite scale-free networks is given according to the value of the Gini coefficient.

Suggested Citation

  • Hai-Bo Hu & Lin Wang, 2005. "The Gini Coefficient'S Application To General Complex Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 159-167.
    • Handle: RePEc:wsi:acsxxx:v:08:y:2005:i:01:n:s0219525905000385
    DOI: 10.1142/S0219525905000385
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    References listed on IDEAS

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    1. Jose M. Montoya & Ricard V. Solé, 2000. "Small World Patterns in Food Webs," Working Papers 00-10-059, Santa Fe Institute.
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    Cited by:

    1. Sun, Xin & Dong, Junyu & Tang, Ruichun & Xu, Mantao & Qi, Lin & Cai, Yang, 2015. "Topological evolution of virtual social networks by modeling social activities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 259-267.

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