Table 2. The empirical networks we study and their basic properties.

	N	M	k	κ	ℓ	C	r
Social network of frequent associations between dolphins [36]	62	159	5.13	1	3.357	0.258	−0.043
Coauthorships between scientists posting preprints on the High-Energy TheoryE-Print Archive [37]	8361	15751	3.77	1332	7.025	0.442	0.294
Coauthorship network of scientists working on network theory and experiment [38]	1589	2742	3.45	396	5.823	0.637	0.462
Network representing the topology of the Western States Power Grid of the United States [1]	4941	6594	2.67	1	18.989	0.080	0.003
Neural network of the worm C. elegans [1], [34]	297	2148	14.465	1	2.455	0.292	−0.163
Network of protein-protein interactions in the yeast S. cerevisiae [35]	2361	7182	6.084	101	4.376	0.130	−0.085

Number of vertices , number of edges , average degree , number of connected components , average path length , clustering coefficient , and coefficient of assortativity .