Statistics Size n = 34 Volume m = 78 Loop count l = 0 Wedge count s = 528 Claw count z = 1,764 Cross count x = 5,082 Triangle count t = 45 Square count q = 154 4-Tour count T4 = 3,500 Maximum degree dmax = 17 Average degree d = 4.588 24 Fill p = 0.139 037 Size of LCC N = 34 Diameter δ = 5 50-Percentile effective diameter δ0.5 = 1.840 54 90-Percentile effective diameter δ0.9 = 3.441 98 Median distance δM = 2 Mean distance δm = 2.443 26 Gini coefficient G = 0.385 370 Balanced inequality ratio P = 0.339 744 Relative edge distribution entropy Her = 0.924 709 Power law exponent γ = 1.780 96 Tail power law exponent γt = 2.161 00 Tail power law exponent with p γ3 = 2.161 00 p-value p = 0.151 000 Degree assortativity ρ = −0.475 613 Degree assortativity p-value pρ = 3.509 45 × 10−10 Clustering coefficient c = 0.255 682 Spectral norm α = 6.725 70 Algebraic connectivity a = 0.468 525 Spectral separation |λ1[A] / λ2[A]| = 1.351 34 Non-bipartivity bA = 0.332 823 Normalized non-bipartivity bN = 0.285 389 Algebraic non-bipartivity χ = 0.878 988 Spectral bipartite frustration bK = 0.047 893 6 Controllability C = 8 Relative controllability Cr = 0.235 294

Zachary Karate Club (Karate): This dataset, collected by Wayne Zachary in 1977, represents the social network of members in a university Karate club. Each node represents a club member, and edges denote contact or interaction between members.