Blogs
This directed network contains frontpage hyperlinks between blogs in the
context of the 2004 US election. A node represents a blog and an edge
represents a hyperlink between two blogs.
Metadata
Statistics
Size  n =  1,224

Volume  m =  19,025

Loop count  l =  3

Wedge count  s =  1,341,525

Claw count  z =  106,210,646

Cross count  x =  6,795,494,042

Triangle count  t =  101,043

Square count  q =  5,171,257

4Tour count  T_{4} =  46,769,586

Maximum degree  d_{max} =  467

Maximum outdegree  d^{+}_{max} =  256

Maximum indegree  d^{−}_{max} =  337

Average degree  d =  31.086 6

Fill  p =  0.012 698 8

Size of LCC  N =  1,222

Size of LSCC  N_{s} =  793

Relative size of LSCC  N^{r}_{s} =  0.647 876

Diameter  δ =  8

50Percentile effective diameter  δ_{0.5} =  2.214 91

90Percentile effective diameter  δ_{0.9} =  3.289 37

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  2.722 23

Gini coefficient  G =  0.633 107

Balanced inequality ratio  P =  0.254 744

Outdegree balanced inequality ratio  P_{+} =  0.276 005

Indegree balanced inequality ratio  P_{−} =  0.218 870

Relative edge distribution entropy  H_{er} =  0.898 242

Power law exponent  γ =  1.414 89

Tail power law exponent  γ_{t} =  2.381 00

Tail power law exponent with p  γ_{3} =  2.381 00

pvalue  p =  0.000 00

Outdegree tail power law exponent with p  γ_{3,o} =  3.121 00

Outdegree pvalue  p_{o} =  0.000 00

Indegree tail power law exponent with p  γ_{3,i} =  2.981 00

Indegree pvalue  p_{i} =  0.062 000 0

Degree assortativity  ρ =  −0.221 233

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.436 307

Clustering coefficient  c =  0.225 959

Directed clustering coefficient  c^{±} =  0.276 091

Spectral norm  α =  90.740 2

Operator 2norm  ν =  56.192 8

Cyclic eigenvalue  π =  34.423 3

Algebraic connectivity  a =  0.170 920

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.245 67

Reciprocity  y =  0.242 681

Nonbipartivity  b_{A} =  0.634 253

Normalized nonbipartivity  b_{N} =  0.281 318

Algebraic nonbipartivity  χ =  0.375 440

Spectral bipartite frustration  b_{K} =  0.003 430 54

Controllability  C =  446

Relative controllability  C_{r} =  0.364 379

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]

Lada A. Adamic and Natalie Glance.
The political blogosphere and the 2004 US election: Divided they
blog.
In Proc. Int. Workshop on Link Discov., pages 36–43, 2005.
