Higgs
The is a directed follower social network from Twitter, in the context of the
announcement of the discovery of a particle with the features of Higgs boson.
The network contains loops.
Metadata
Statistics
Size  n =  456,626

Volume  m =  14,855,842

Loop count  l =  23

Wedge count  s =  28,786,965,703

Claw count  z =  228,329,313,547,960

Cross count  x =  1,978,606,030,373,039,872

Triangle count  t =  83,023,401

Square count  q =  54,010,191,351

4Tour count  T_{4} =  547,254,410,446

Maximum degree  d_{max} =  51,388

Maximum outdegree  d^{+}_{max} =  1,259

Maximum indegree  d^{−}_{max} =  51,386

Average degree  d =  65.067 9

Fill  p =  7.124 85 × 10^{−5}

Size of LCC  N =  456,290

Size of LSCC  N_{s} =  360,210

Relative size of LSCC  N^{r}_{s} =  0.788 851

Diameter  δ =  12

50Percentile effective diameter  δ_{0.5} =  2.639 63

90Percentile effective diameter  δ_{0.9} =  3.706 21

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  3.174 10

Gini coefficient  G =  0.717 584

Balanced inequality ratio  P =  0.220 890

Outdegree balanced inequality ratio  P_{+} =  0.265 009

Indegree balanced inequality ratio  P_{−} =  0.156 805

Relative edge distribution entropy  H_{er} =  0.897 103

Power law exponent  γ =  1.346 90

Tail power law exponent  γ_{t} =  2.271 00

Degree assortativity  ρ =  −0.098 444 8

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.688 659

Clustering coefficient  c =  0.008 652 19

Directed clustering coefficient  c^{±} =  0.100 511

Spectral norm  α =  677.185

Operator 2norm  ν =  608.347

Cyclic eigenvalue  π =  202.697

Reciprocity  y =  0.316 026

Nonbipartivity  b_{A} =  0.169 817

Normalized nonbipartivity  b_{N} =  0.054 334 1

Algebraic nonbipartivity  χ =  0.091 225 0

Spectral bipartite frustration  b_{K} =  0.000 415 976

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]

Jure Leskovec.
Stanford Network Analysis Project.
http://snap.stanford.edu/, September 2014.
