Figure 7

Distribution of community sizes. In the green box, we plot the community size distributions obtained from the underlying graph of the original simplicial complex. In the red box, we plot the community size distributions for the categories for which we performed the simplicial reduction. The central matrix shows: the JSD between the community size distributions of the original categories (green cells, upper triangular matrix), the JSD between the community size distributions for the transformed complexes (red cells, lower triangular matrix), and the JSD between the size community size distributions of the categories before and after the reduction. In all cases we find that the differences between the various distributions are small (JSD is defined in \((0, \log2)\)).