# Highschool

This directed network contains friendships between boys in a small highschool in Illinois. Each boy was asked once in the fall of 1957 and the spring of 1958. This dataset aggregates the results from both dates. A node represents a boy and an edge between two boys shows that the left boy chose the right boy as a friend. The edge weights show how often that happened. As a boy could choose the same boy twice edge values from 1 to 2 are allowed.

 Code `MH` Internal name `moreno_highschool` Name Highschool Data source http://moreno.ss.uci.edu/data.html#high Availability Dataset is available for download Consistency check Dataset passed all tests Category Human social network Node meaning Boy Edge meaning Friendship Network format Unipartite, directed Edge type Positive weights, no multiple edges Reciprocal Contains reciprocal edges Directed cycles Contains directed cycles Loops Does not contain loops

## Statistics

 Size n = 70 Volume m = 366 Loop count l = 0 Wedge count s = 2,278 Claw count z = 16,957 Cross count x = 54,264 Triangle count t = 307 Square count q = 1,277 4-Tour count T4 = 19,876 Maximum degree dmax = 23 Maximum outdegree d+max = 12 Maximum indegree d−max = 18 Average degree d = 10.457 1 Fill p = 0.075 776 4 Size of LCC N = 70 Size of LSCC Ns = 67 Relative size of LSCC Nrs = 0.957 143 Diameter δ = 6 50-Percentile effective diameter δ0.5 = 2.225 35 90-Percentile effective diameter δ0.9 = 3.510 02 Median distance δM = 3 Mean distance δm = 2.664 11 Gini coefficient G = 0.242 350 Balanced inequality ratio P = 0.400 273 Outdegree balanced inequality ratio P+ = 0.420 765 Indegree balanced inequality ratio P− = 0.363 388 Relative edge distribution entropy Her = 0.977 083 Power law exponent γ = 1.793 91 Tail power law exponent γt = 4.381 00 Tail power law exponent with p γ3 = 4.381 00 p-value p = 0.048 000 0 Outdegree tail power law exponent with p γ3,o = 5.701 00 Outdegree p-value po = 0.233 000 Indegree tail power law exponent with p γ3,i = 4.681 00 Indegree p-value pi = 0.194 000 Degree assortativity ρ = +0.082 957 7 Degree assortativity p-value pρ = 0.052 270 1 In/outdegree correlation ρ± = +0.360 804 Clustering coefficient c = 0.404 302 Directed clustering coefficient c± = 0.403 252 Spectral norm α = 20.698 1 Operator 2-norm ν = 10.977 2 Cyclic eigenvalue π = 9.584 62 Algebraic connectivity a = 1.067 34 Spectral separation |λ1[A] / λ2[A]| = 1.233 15 Reciprocity y = 0.502 732 Non-bipartivity bA = 0.605 910 Normalized non-bipartivity bN = 0.451 279 Algebraic non-bipartivity χ = 1.466 37 Spectral bipartite frustration bK = 0.046 827 6 Controllability C = 4 Relative controllability Cr = 0.057 142 9