Comparisons of empirical networks, modular random graphs and random graphs with matched degree distribution (based on the configuration model). The figure summarizes network statistics of the empirical network as well as the ensemble mean of two types of random graphs in terms of (a) Modularity, Q ; (b) Assortativity, r; (c) Path length, L and (d) Clustering coefficient, C. The path length value for the empirical Yeast-Protein interaction network is missing as the network contains disconnected components. Error bars denote standard deviation from the ensemble mean of the generated random graphs. Errors bars for modular random graphs in Figure 6(a) have been omitted as the value of modularity (Q) match the empirical networks perfectly. FW = Little Rock food web, YP = Yeast protein interaction network, CM =C.elegans metabolic network and DS = Dolphin social network.