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

Applied Network Science

Table 8 Zone properties in generated networks

Network	Zones	Zone size		Inner-zone size		Outer-zone size		Trivial	Dyad	Triad	Multi ego	Embed.
		Max	Avg	Max	Avg	Max	Avg
BA ₃	9999	555	1.680	390	1.262	165	0.418	8228	65	1291	1	0.002
BA ₄	10000	450	1.421	393	1.184	57	0.237	8545	1011	169	0	0.000
TC _{0.7 2}	8581	26	4.623	18	2.664	12	1.960	219	37	4103	1172	0.438
TC _{0.7 3}	9479	39	4.246	24	2.213	16	2.033	1325	404	2169	483	0.315
TC _{0.7 4}	9762	19	2.844	10	1.666	11	1.178	3403	2323	372	231	0.173
TC _{0.97 2}	7656	55	5.160	38	3.225	17	1.935	16	13	2828	1768	0.483
TC _{0.97 3}	8453	83	6.564	48	3.424	36	3.139	64	81	319	1237	0.411
TC _{0.97 4}	8797	99	6.723	50	3.278	50	3.446	247	775	255	991	0.331
ER _0.0005	9897	8	1.553	5	1.202	3	0.351	7087	570	1998	39	0.085
ER _0.001	10000	3	1.013	2	1.004	2	0.008	9930	10	60	0	0.001
football	115	3	1.087	2	1.035	2	0.052	108	4	3	0	0.008

In the ER and BA networks, there is a very high proportion of small zones, such as trivial zones, dyads, and triads and, conversely, a low proportion of multi-ego zones. Moreover, the embeddedness of these networks is extremely low