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Lorenz curve

The Lorenz curve is a tool originally from economics that visualizes statements of the form “X% of nodes with smallest degree account for Y% of edges”. The set of values \((X,Y)\) thus defined is the Lorenz curve. In a network the Lorenz curve is a straight diagonal line when all nodes have the same degree, and curved otherwise [1]. The area between the Lorenz curve and the diagonal is half the Gini coefficient.
[1] Jérôme Kunegis and Julia Preusse. Fairness on the web: Alternatives to the power law. In Proc. Web Science Conf., pages 175–184, 2012. [ .pdf ]

Degree distribution

Outdegree distribution

Indegree distribution

Left degree distribution

Right degree distribution