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 | |
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 |
Size | n = | 34 |
Volume | m = | 78 |
Average degree | d = | 4.588 24 |
Maximum degree | d_{max} = | 17 |
Fill | p = | 0.139 037 |
Wedge count | s = | 528 |
Claw count | z = | 1,764 |
Cross count | x = | 5,082 |
Size of LCC | N = | 34 |
Relative size of LCC | N^{rel} = | 1.000 00 |
Degree assortativity | ρ = | −0.475 613 |
Degree assortativity p-value | p_{ρ} = | 3.509 45 × 10^{−10} |
Spectral norm | ‖A‖_{2} = | 6.725 70 |
Gini coefficient | G = | 0.385 370 |
Power law exponent | γ = | 1.780 96 |
Tail power law exponent | γ_{t} = | 2.161 00 |
Relative edge distribution entropy | H_{er} = | 0.924 709 |
Clustering coefficient | c = | 0.255 682 |
Triangle count | t = | 45 |
Diameter | δ = | 5 |
50-Percentile effective diameter | δ_{0.5} = | 1.840 54 |
90-Percentile effective diameter | δ_{0.9} = | 3.441 98 |
Mean distance | δ_{m} = | 2.443 26 |
4-Tour count | T_{4} = | 3,500 |
Square count | q = | 154 |
Algebraic connectivity | a = | 0.468 525 |
[1] | Jérôme Kunegis. KONECT – The Koblenz Network Collection. In Proc. Int. Conf. on World Wide Web Companion, pages 1343–1350, 2013. [ http ] |
[2] | Wayne Zachary. An information flow model for conflict and fission in small groups. J. of Anthropol. Res., 33:452–473, 1977. |