Manufacturing emails
This is the internal email communication network between employees of a
mid-sized manufacturing company. The network is directed and nodes represent
employees. The left node represents the sender and the right node represents
the recipient. Edges between two nodes are individual emails.
Metadata
Statistics
| Size | n = | 167
|
| Volume | m = | 82,927
|
| Unique edge count | m̿ = | 5,784
|
| Loop count | l = | 51
|
| Wedge count | s = | 206,233
|
| Claw count | z = | 31,304,118
|
| Cross count | x = | 1,296,647,327
|
| Triangle count | t = | 37,209
|
| Square count | q = | 1,622,683
|
| 4-Tour count | T4 = | 13,812,896
|
| Maximum degree | dmax = | 9,053
|
| Maximum outdegree | d+max = | 4,607
|
| Maximum indegree | d−max = | 4,446
|
| Average degree | d = | 993.138
|
| Fill | p = | 0.207 394
|
| Average edge multiplicity | m̃ = | 14.337 3
|
| Size of LCC | N = | 167
|
| Size of LSCC | Ns = | 126
|
| Relative size of LSCC | Nrs = | 0.754 491
|
| Diameter | δ = | 5
|
| 50-Percentile effective diameter | δ0.5 = | 1.395 03
|
| 90-Percentile effective diameter | δ0.9 = | 2.246 15
|
| Median distance | δM = | 2
|
| Mean distance | δm = | 1.871 18
|
| Gini coefficient | G = | 0.619 320
|
| Balanced inequality ratio | P = | 0.267 754
|
| Outdegree balanced inequality ratio | P+ = | 0.272 589
|
| Indegree balanced inequality ratio | P− = | 0.303 689
|
| Relative edge distribution entropy | Her = | 0.925 588
|
| Power law exponent | γ = | 1.332 56
|
| Tail power law exponent | γt = | 4.201 00
|
| Tail power law exponent with p | γ3 = | 4.201 00
|
| p-value | p = | 0.136 000
|
| Outdegree tail power law exponent with p | γ3,o = | 3.641 00
|
| Outdegree p-value | po = | 0.162 000
|
| Indegree tail power law exponent with p | γ3,i = | 4.951 00
|
| Indegree p-value | pi = | 0.431 000
|
| Degree assortativity | ρ = | −0.295 177
|
| Degree assortativity p-value | pρ = | 7.833 28 × 10−131
|
| In/outdegree correlation | ρ± = | +0.852 125
|
| Clustering coefficient | c = | 0.541 266
|
| Directed clustering coefficient | c± = | 0.538 752
|
| Spectral norm | α = | 3,581.16
|
| Operator 2-norm | ν = | 1,819.32
|
| Cyclic eigenvalue | π = | 1,772.47
|
| Algebraic connectivity | a = | 0.904 879
|
| Spectral separation | |λ1[A] / λ2[A]| = | 1.122 82
|
| Reciprocity | y = | 0.876 037
|
| Non-bipartivity | bA = | 0.109 389
|
| Normalized non-bipartivity | bN = | 0.286 679
|
| Algebraic non-bipartivity | χ = | 0.377 080
|
| Spectral bipartite frustration | bK = | 0.002 421 27
|
| Controllability | C = | 28
|
| Relative controllability | Cr = | 0.167 665
|
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 ]
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|
[2]
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Radoslaw Michalski, Sebastian Palus, and Przemyslaw Kazienko.
Matching organizational structure and social network extracted from
email communication.
In Proc. Int. Conf. on Bus. Inf. Syst., pages 197–206, 2011.
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