The degree distributions of the primal graphs of random hypergraphs. Each of the hypergraphs has 1193 nodes and 1168 hyperedges. Columns from left to right correspond to fixed hyperedge cardinalities of 2, 3, 4, and 5, respectively. The results in each panel are based on the 300 randomly generated hypergraphs (replica). For each well represented degree value (contained in at least 10 replica), the median is plotted. Error bars indicate quartiles. Green dots correspond to the degree distribution of the primal graph of the (undirected) metabolic hypergraph of E. coli. All plots are on log-log scales.