Fig 4.

Panel (a) shows how depending on the value of s the inverted rank can give a higher value of $\overline{h}$ than the planted rank in military-like graph with parameters p = 0.5, q = 0, R = 32. Panel (b) gives a schematic representation of the estimated optimal number of classes ${\tilde{R}}^{*}$ as s varies, dashed lines are associated to the inverted rank.