Residence hall
This directed network contains friendship ratings between 217 residents living
at a residence hall located on the Australian National University campus. A
node represents a person and
Metadata
Statistics
Size  n =  217

Volume  m =  2,672

Loop count  l =  0

Wedge count  s =  35,859

Claw count  z =  848,578

Cross count  x =  8,287,727

Triangle count  t =  3,629

Square count  q =  35,657

4Tour count  T_{4} =  432,370

Maximum degree  d_{max} =  80

Maximum outdegree  d^{+}_{max} =  51

Maximum indegree  d^{−}_{max} =  34

Average degree  d =  24.626 7

Fill  p =  0.057 006 3

Size of LCC  N =  217

Size of LSCC  N_{s} =  214

Relative size of LSCC  N^{r}_{s} =  0.986 175

Diameter  δ =  4

50Percentile effective diameter  δ_{0.5} =  1.807 59

90Percentile effective diameter  δ_{0.9} =  2.785 73

Median distance  δ_{M} =  2

Mean distance  δ_{m} =  2.327 48

Gini coefficient  G =  0.244 081

Balanced inequality ratio  P =  0.408 121

Outdegree balanced inequality ratio  P_{+} =  0.397 081

Indegree balanced inequality ratio  P_{−} =  0.393 713

Relative edge distribution entropy  H_{er} =  0.981 563

Power law exponent  γ =  1.492 83

Tail power law exponent  γ_{t} =  6.321 00

Tail power law exponent with p  γ_{3} =  6.321 00

pvalue  p =  0.936 000

Outdegree tail power law exponent with p  γ_{3,o} =  4.601 00

Outdegree pvalue  p_{o} =  0.336 000

Indegree tail power law exponent with p  γ_{3,i} =  8.911 00

Indegree pvalue  p_{i} =  0.595 000

Degree assortativity  ρ =  +0.095 962 5

Degree assortativity pvalue  p_{ρ} =  5.500 55 × 10^{−9}

In/outdegree correlation  ρ^{±} =  +0.480 021

Clustering coefficient  c =  0.303 606

Directed clustering coefficient  c^{±} =  0.302 612

Spectral norm  α =  107.958

Operator 2norm  ν =  57.034 8

Cyclic eigenvalue  π =  50.874 7

Algebraic connectivity  a =  5.353 63

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.315 62

Reciprocity  y =  0.623 503

Nonbipartivity  b_{A} =  0.664 996

Normalized nonbipartivity  b_{N} =  0.572 754

Algebraic nonbipartivity  χ =  1.783 97

Spectral bipartite frustration  b_{K} =  0.026 313 3

Controllability  C =  2

Relative controllability  C_{r} =  0.009 216 59

Plots
Matrix decompositions plots
Downloads
References
[1]

Jérôme Kunegis.
KONECT – The Koblenz Network Collection.
In Proc. Int. Conf. on World Wide Web Companion, pages
1343–1350, 2013.
[ http ]

[2]

Linton Clarke Freeman, Cynthia Marie Webster, and Deirdre M. Kirke.
Exploring social structure using dynamic threedimensional color
images.
Soc. Netw., 20(2):109–118, 1998.
