Arnetminer ACM

The directed citation network of ACM papers as extracted by the ArnetMiner project. Directed edges of the from A→B denote a paper A citing a paper B.


Internal namearnetminer
NameArnetminer ACM
Data source
AvailabilityDataset is not available for download
Consistency checkDataset passed all tests
Citation network
Dataset timestamp 1976 ⋯ 2016
Node meaningPublication
Edge meaningCitation
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsContains loops


Size n =1,369,055
Volume m =8,650,089
Wedge count s =816,355,014
Claw count z =425,535,074,479
Cross count x =493,029,216,779,945
Triangle count t =7,269,242
Square count q =183,618,561
4-Tour count T4 =4,751,646,308
Maximum degree dmax =8,619
Maximum outdegree d+max =808
Maximum indegree dmax =8,619
Average degree d =12.636 6
Fill p =4.615 08 × 10−6
Size of LCC N =1,348,824
Size of LSCC Ns =3,709
Relative size of LSCC Nrs =0.002 709 17
Diameter δ =29
50-Percentile effective diameter δ0.5 =5.010 36
90-Percentile effective diameter δ0.9 =6.550 19
Mean distance δm =5.575 01
Gini coefficient G =0.594 085
Relative edge distribution entropy Her =0.946 382
Power law exponent γ =1.546 10
Tail power law exponent γt =2.781 00
Degree assortativity ρ =−0.034 210 7
Degree assortativity p-value pρ =0.000 00
Clustering coefficient c =0.026 713 5
Spectral norm α =95.724 2
Operator 2-norm ν =94.040 3
Cyclic eigenvalue π =8.743 18
Reciprocity y =0.002 238 94


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 normalized adjacency matrix

Hop distribution

Matrix decompositions plots



[1] Jérôme Kunegis. KONECT – The Koblenz Network Collection. In Proc. Int. Conf. on World Wide Web Companion, pages 1343–1350, 2013. [ http ]
[2] Jie Tang, Jing Zhang, Limin Yao, Juanzi Li, Li Zhang, and Zhong Su. ArnetMiner: Extraction and mining of academic social networks. In Proc. Int. Conf. on Knowl. Discov. and Data Min., pages 990–998, 2008.