Predicting the Robustness of Large Real-World Social Networks Using a Machine Learning Model

Table 1

Structural statistics of real-world social networks: node (N), edge (E), average node degree <k>, fitted power-law exponent α, the fitting variance of the power law exponent α², assortativity coefficient a, modularity Q, global clustering coefficient C, and average node closeness Cl.

Nb	Network description	Shortname	N	E	<k>	α	α ^2	a	Q	C	Cl
1	Blue verified Facebook page networks of artist category	Artist	50,515	819,306	32.4	1.937	5.437	0.002	0.177	0.053	0.275
2	Blue verified Facebook page networks of athlete category	Athlete	13,868	86,859	12.5	2.130	4.778	0.005	0.547	0.129	0.237
3	Blue verified Facebook page networks of company category	Company	14,115	52,311	7.4	1.995	4.191	0.022	0.632	0.153	0.193
4	Blue verified Facebook page networks of government category	Government	7,059	89,456	25.3	1.829	4.401	0.004	0.478	0.224	0.270
5	Blue verified Facebook page networks of new site category	new_sites	27,919	206,260	14.8	2.097	5.082	0.009	0.509	0.114	0.233
6	Blue verified Facebook page networks of politician category	Politician	5,910	41,730	14.1	2.058	4.474	0.005	0.660	0.301	0.219
7	Blue verified Facebook page networks of public figure category	public_figure	11,567	67,115	11.6	1.841	4.212	0.009	0.441	0.167	0.221
8	Blue verified Facebook page networks of tV show category	Tvshow	3,894	17,263	8.9	1.622	3.279	0.037	0.770	0.591	0.166
9	Citation NW of arXiv High Energy Physics (phenomenology) paper	Cit-HepPh	34,548	421,579	24.4	2.528	6.310	0.003	0.472	0.146	0.237
10	Citation NW of arXiv High Energy Physics (theory) paper	Cit-HepTh	27,772	352,808	25.4	1.916	5.006	0.006	0.424	0.120	0.000
11	Collaboration network of arXiv astro physics	CA-AstroPh	18,774	396,161	42.2	2.174	6.021	0.050	0.412	0.316	0.000
12	Collaboration network of arxiv condensed matter	CA-CondMat	23,135	186,937	16.2	2.584	6.235	0.074	0.649	0.258	0.245
13	Collaboration network of arxiv general relativity	CA-GrQc	5,244	28,981	11.1	2.290	4.895	0.192	0.781	0.611	0.000
14	Collaboration network of arxiv high energy physics	CA-HepPh	12,010	237,011	39.5	1.407	4.013	0.103	0.383	0.657	0.000
15	Collaboration network of arxiv high energy physics theory	CA-HepTh	9,879	51,972	10.5	3.306	6.907	0.080	0.708	0.272	0.000
16	Deezer’s users friendship networks from Croatia	deezer_HR	54,575	498,203	18.3	3.461	7.954	0.005	0.525	0.115	0.224
17	Deezer’s users friendship networks from Hungary	deezer_HU	47,540	222,888	9.4	4.435	8.525	0.008	0.580	0.093	0.189
18	Deezer’s users friendship networks from Romania	deezer_RO	41,775	125,827	6.0	3.392	6.402	0.008	0.682	0.075	0.160
19	E-mail communication network from enron	Email-enron	36,694	367,663	20.0	1.446	4.213	0.036	0.333	0.085	0.307
20	E-mail network from a EU research institution	Email-EuAll	265,216	420,046	3.2	0.646	1.901	−0.039	0.047	0.007	0.000
21	Follower relationships network of European users from deezer	deezer_Europe	28,283	92,753	6.6	2.981	5.972	0.011	0.603	0.096	0.159
22	Network of trusting consumers from the review site Epinions.com	Soc-Epinions1	75,881	508,838	13.4	1.512	4.289	0.001	0.247	0.082	0.237
23	Page-page network of verified facebook sites	musae_facebook	22,472	171,003	15.2	2.029	4.945	0.011	0.630	0.232	0.206
24	Slashdot social network from February 2009	Slashdot0902	82,170	948,465	23.1	1.617	4.728	0.080	0.202	0.026	0.250
25	Slashdot social network from November 2008	Slashdot0811	77,362	905,469	23.4	1.603	4.685	0.083	0.207	0.026	0.252
26	Social network of github developers.	musae_git	37,702	289,004	15.3	1.267	3.482	−0.001	0.152	0.012	0.314
27	Social network of LastFM users from asia.	lastfm_Asia	7,626	27,807	7.3	1.807	3.730	0.006	0.679	0.179	0.195
28	Twitch user-user networks of gamers who stream in English	musae_ENGB	7,128	35,325	9.9	1.204	2.770	0.001	0.267	0.042	0.277
29	Twitch user-user networks of gamers who stream in French	musae_FR	6,551	112,667	34.4	1.303	3.392	−0.001	0.084	0.054	0.378
30	Twitch user-user networks of gamers who stream in German	musae_DE	9,500	153,139	32.2	1.305	3.476	−0.001	0.062	0.046	0.374
31	Twitch user-user networks of gamers who stream in Portugal	musae_PTBR	1,914	31,300	32.7	1.127	2.680	−0.003	0.081	0.131	0.402
32	Twitch user-user networks of gamers who stream in Russian	musae_RU	4,387	37,305	17.0	1.054	2.522	−0.003	0.101	0.049	0.337
33	Twitch user-user networks of gamers who stream in Spain	musae_ES	4,650	59,383	25.5	1.327	3.233	−0.001	0.109	0.084	0.352
34	Wikipedia page-to-page networks on chameleon topic	musae_chameleon	2,279	36,102	31.7	0.974	2.381	0.006	0.203	0.445	0.291
35	Wikipedia page-to-page networks on crocodile topic	musae_crocodile	11,633	180,021	31.0	0.892	2.483	−0.010	0.181	0.039	0.316
36	Wikipedia page-to-page networks on squirrel topic	musae_squirrel	5,203	217,074	83.4	0.748	2.245	−0.001	0.072	0.451	0.335
37	Wikipedia who-votes-on-whom network	Wiki-vote	7,117	103,690	29.1	1.412	3.644	−0.001	0.025	0.136	0.318
38	BlogCatalog social blog	BlogCatalog1	88,784	4,186,390	94.3	2.265	9.866	−0.001	0.018	0.060	0.331
39	BlogCatalog social blog version 2	BlogCatalog2	97,884	2,043,701	41.8	2.141	9.330	−0.001	0.006	0.057	0.355
40	BlogCatalog social blog version 3	BlogCatalog3	10,312	333,983	64.8	1.929	6.939	−0.001	0.026	0.091	0.424
41	Douban online social network	Douban	154,908	654,188	8.4	3.946	10.755	−0.048	0.093	0.010	0.195
42	Gowalla location-based social networking	Gowalla	196,591	950,327	9.7	1.386	5.337	0.006	0.501	0.023	0.221
43	TheMarker cafe online social network	TheMarker	69,413	1,644,849	47.4	2.547	9.799	0.000	0.022	0.046	0.332
44	Brightkite location-based online social network	Brightkite	58,228	214,078	7.4	2.330	6.802	0.005	0.539	0.111	0.224
45	The friendships network between users of the website http://www.hamsterster.com	Hamsterster	2,426	16,630	13.7	2.599	6.051	0.067	0.394	0.231	0.404
46	A google-plus subgraph	Soc-gplus	23,628	39,242	3.3	1.188	4.021	−0.068	−0.027	0.004	0.251
47	Anybeat online social network	Anybeat	12,645	67,053	10.6	0.922	3.294	−s0.009	0.133	0.018	0.323
48	Advogato online social network	Advogato	6,551	51,332	15.7	2.064	5.785	0.078	0.312	0.111	0.000