Published January 31, 2026 | Version v1
Dataset Open

Zachary Karate Club (Karate) Dataset

Authors/Creators

  • 1. Instituto Universitario Mixto de Tecnología Informática, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, Spain
  • 2. Department of Computer and Information Technology Engineering, Qa. c., Islamic Azad University, Qazvin, Iran

Description

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.

 

Notes

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

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