MathOverflow

These are interactions from the StackExchange site "MathOverflow". The network is between users, and directed edges represent three types of interactions: answering a question of another user, commenting on another user's question, and commenting on another user's answer. The network is temporal. This network is part of a series of network from multiple StackExchange sites.

Metadata

Codema
Internal namesx-mathoverflow
NameMathOverflow
Data sourcehttp://snap.stanford.edu/data/sx-MathOverflow.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Online contact network
Node meaningUser
Edge meaningAnswer/comment
Network formatUnipartite, directed
Edge typeUnweighted, multiple edges
Temporal data Edges are annotated with timestamps
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsContains loops
Snapshot Is a snapshot and likely to not contain all data

Statistics

Size n =24,818
Volume m =506,550
Unique edge count m̿ =239,978
Wedge count s =54,999,653
Claw count z =31,659,979,718
Cross count x =12,853,869,969,792
Triangle count t =1,403,919
Square count q =185,375,938
4-Tour count T4 =1,703,382,088
Maximum degree dmax =11,309
Maximum outdegree d+max =5,931
Maximum indegree dmax =5,378
Average degree d =40.821 2
Fill p =0.000 389 617
Average edge multiplicity m̃ =2.110 82
Size of LCC N =24,668
Size of LSCC Ns =13,095
Relative size of LSCC Nrs =0.527 641
Diameter δ =9
50-Percentile effective diameter δ0.5 =2.652 69
90-Percentile effective diameter δ0.9 =3.668 56
Mean distance δm =3.208 63
Gini coefficient G =0.854 886
Relative edge distribution entropy Her =0.832 983
Power law exponent γ =1.682 16
Tail power law exponent γt =1.871 00
Degree assortativity ρ =−0.215 181
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.796 549
Clustering coefficient c =0.076 577 9
Spectral norm α =4,010.92
Operator 2-norm ν =2,011.89
Cyclic eigenvalue π =1,997.09
Algebraic connectivity a =0.207 313
Reciprocity y =0.383 356
Non-bipartivity bA =0.994 978
Normalized non-bipartivity bN =0.132 313
Spectral bipartite frustration bK =0.003 028 19

Plots

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Delaunay graph drawing

In/outdegree scatter plot

Edge weight/multiplicity distribution

Clustering coefficient distribution

Average neighbor degree distribution

Temporal distribution

Temporal hop distribution

Diameter/density evolution

SynGraphy

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.