Zachary karate club

This is the well-known and much-used Zachary karate club network. The data was collected from the members of a university karate club by Wayne Zachary in 1977. Each node represents a member of the club, and each edge represents a tie between two members of the club. The network is undirected. An often discussed problem using this dataset is to find the two groups of people into which the karate club split after an argument between two teachers.

 Code ZA Internal name ucidata-zachary Name Zachary karate club Data source http://vlado.fmf.uni-lj.si/pub/networks/data/ucinet/ucidata.htm#zachary Availability Dataset is available for download Consistency check Dataset passed all tests Category Human social network Dataset timestamp 1977 Node meaning Member Edge meaning Tie Network format Unipartite, undirected Edge type Unweighted, no multiple edges Loops Does not contain loops

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 = 0.148 000 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