Fig. 8

Complementary cumulative distribution by class for synthetic networks and majority associated noise. The statistics for minority/majority are represented by dashed/solid lines respectively. Different colours correspond to different values of the retain parameter \(\rho\). To increase clarity, standard deviations are not shown. For fixed \(\rho\), comparatively higher values of the solid line indicate an over representation of the majority in degree rankings, equal values proportional representation. As expected the majority noise has a strong effect on the majority but also a minor effect on the minority. In heterophilic regimes the minority remains disproportionately represented for any ranking. In homophilic regimes for \(\rho =0.1\) we can have a ranking with proportionate representation if we consider rankings above the top 0.1% of nodes