Ego-zones: non-symmetric dependencies reveal network groups with large and dense overlaps

Applied Network Science

Table 13 Zone properties in real-world networks

Network	Zones	Zone size		Inner-zone size		Outer-zone size		Trivial	Dyad	Triad	Multi ego	Embed.
		Max	Avg	Max	Avg	Max	Avg
artist	50126	73	1.885	43	1.325	33	0.560	32169	5701	7455	307	0.037
as-22july06	22522	2328	4.423	2083	2.499	245	1.924	784	8111	10300	430	0.070
astro-ph	11521	530	14.738	199	5.542	331	9.196	247	1316	1566	1792	0.323
Brightkite	53308	375	3.494	265	2.063	110	1.431	6364	21930	12344	2891	0.181
com-amazon	297805	451	4.551	360	2.556	91	1.995	45566	40210	64374	24143	0.316
com-dblp	236688	255	6.557	116	3.530	146	3.027	3585	43712	50846	50311	0.315
cond-mat	10712	91	6.444	59	3.442	48	3.002	166	1635	2122	2200	0.412
cond-2005	29389	271	8.490	117	3.857	154	4.633	483	3664	4755	4870	0.309
email-Enron	28704	1371	6.251	1326	3.056	247	3.195	1309	9837	3467	3299	0.089
facebook	3788	1017	6.587	1002	3.078	42	3.510	30	1635	346	118	0.047
ChCh-Miner	1498	78	3.766	63	2.004	17	1.762	769	209	173	9	0.027
new_sites	26729	177	3.537	110	1.894	67	1.642	9777	3783	4612	758	0.141
power	4120	24	3.674	20	2.382	8	1.292	259	1239	1162	562	0.457
PP-Decagon	18933	614	6.627	269	1.593	378	5.034	12652	1692	1787	76	0.037
PP-Pathways	21471	652	2.939	585	1.491	120	1.448	11135	5060	2992	37	0.025
Yeast	2181	32	3.169	26	1.887	10	1.282	414	796	476	38	0.177
LFR _{20 500 2000}	9848	88	4.591	64	2.235	31	2.356	4819	909	693	57	0.587
LFR _{7 60 4000}	9476	72	4.638	46	2.418	27	2.219	2270	129	3619	430	0.425

All the biological networks (ChCh-Miner, PP-Decagon, PP-Pathways, Yeast), social networks (artist, facebook, new_sites), and communication networks (Brightkite, Email-Enron) have a low average value of zone embeddedness