Statistics Size n = 62 Volume m = 159 Loop count l = 0 Wedge count s = 923 Claw count z = 1,861 Cross count x = 2,769 Triangle count t = 95 Square count q = 278 4-Tour count T4 = 6,234 Maximum degree dmax = 12 Average degree d = 5.129 03 Fill p = 0.084 082 5 Size of LCC N = 62 Diameter δ = 8 50-Percentile effective diameter δ0.5 = 2.836 59 90-Percentile effective diameter δ0.9 = 5.052 29 Median distance δM = 3 Mean distance δm = 3.454 33 Gini coefficient G = 0.325 015 Balanced inequality ratio P = 0.386 792 Relative edge distribution entropy Her = 0.957 397 Power law exponent γ = 1.708 53 Tail power law exponent γt = 7.711 00 Tail power law exponent with p γ3 = 7.711 00 p-value p = 0.469 000 Degree assortativity ρ = −0.043 594 0 Degree assortativity p-value pρ = 0.438 517 Clustering coefficient c = 0.308 776 Spectral norm α = 7.193 61 Algebraic connectivity a = 0.172 973 Spectral separation |λ1[A] / λ2[A]| = 1.211 80 Non-bipartivity bA = 0.468 830 Normalized non-bipartivity bN = 0.286 231 Algebraic non-bipartivity χ = 0.528 476 Spectral bipartite frustration bK = 0.025 759 0 Controllability C = 6 Relative controllability Cr = 0.096 774 2

Bottlenose Dolphin (Dolphin): This dataset represents the social interactions of 62 dolphins in New Zealand's Doubtful Sound. It is an undirected network with two main communities, where the larger group is further subdivided into smaller groups.