Fig. 3

Realisations from a block-constrained configuration model obtained by fixing the block-matrix B and varying the out-degree distribution. Each realisation is obtained from a BCCM with N=50 vertices and m=500 directed edges. The vertices are separated into 5 equally sized blocks and the block-matrix B is given by Eq. 10. On left side, a is a realisation from a BCCM where the degree distributions are uniform. It corresponds to a realisation from a standard SBM. In the center, b is a realisation obtained by drawing the out-degree distribution of the vertices in each block from a power-law distribution with parameter α=1.8. On the right side, c is a realisation obtained by drawing the out-degree distribution of all vertices from the same power-law. All graphs are visualised using the force-atlas2 layout with weighted edges. Out-degrees determine vertex sizes, and edge widths the edge counts