期刊名称：DESIDOC Journal of Library & Information Technology
电子版ISSN：0976-4658
出版年度：2011
卷号：31
期号：5
DOI：10.14429/djlit.31.5.1190
语种：English
出版社：DESIDOC, Ministry of Defence, India
摘要：Networks can be studied from different points of view. In this paper, it is shown that the traditional Lorenz curve and some of its generalisations can be used for characterising inequality in network properties. Each type of Lorenz curve determines a partial order in a set of networks and a Gini-type index can be associated to each of these curves. The following types of Lorenz curves, each related to a different type of inequalityin network properties and resulting in a different partial order, are briefly discussed: (a) Classical Lorenz curves and evenness measures; (b) intrinsic diversity profiles (or k-dominance curves) and associated measures of diversity; (c) generalised Lorenz curves as introduced by Shorrocks, that are not scale invariant but take absolute numbers into account; (d) weighted Lorenz curves for comparisons with an internal or external standard; and (e) Lorenz-type curve introduced to perform source per source comparisons of items. This paper claims that the Lorenz curves and the Gini index are universal tools for studying inequality, including inequality in network properties.http://dx.doi.org/10.14429/djlit.31.5.1190
关键词：Inequality; networks; Lorenz curves; Gini index
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