FIG. 4. Statistical properties of the best model inferred for the network of arXiv co-authors in the field of condensed matter (cond-mat). Top-left panel: Degree distribution of the original network and of the overlapping model (where the labeled degree ~k sequence f i g is flattened into a single histogram for all labeled degrees f k r i g ). Top-right panel: Distribution of mixture sizes, n d . Bottom-left panel: Distribution of group sizes for the best-fitting nonoverlapping , non-degree-corrected model. Bottom-right panel: Distribution of group sizes for the best-fitting overlapping , non-degree-corrected model.