THE GINI COEFFICIENT'S APPLICATION TO GENERAL COMPLEX NETWORKS

Hai-Bo Hu () and Lin Wang ()
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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

Advances in Complex Systems (ACS), 2005, vol. 08, issue 01, 159-167

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.

Keywords: Complex networks; heterogeneity; Gini coefficient; scale-free (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0219525905000385

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