========================================================
Actual Structure: 12,34,56,78,
(True network) YES! It is selected as the top network
(True network) YES! It is selected as one of the top 5 networks
(True network) Rank: 1
(True network) Invariant difference: 0.0
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 2
(True network -symmetric) Invariant difference: 0.00016836269458264663
0.08344228148923877: 12,34,56,78,
0.08361064418382141: 12,56,34,78,
0.08691979306004534: 12,78,56,34,
0.08766306806813237: 12,56,78,34,
0.09056619772759603: 34,12,56,78,
========================================================
Actual Structure: 12,34,56,7,
(True network) YES! It is selected as the top network
(True network) YES! It is selected as one of the top 5 networks
(True network) Rank: 1
(True network) Invariant difference: 0.0
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 2
(True network -symmetric) Invariant difference: 2.585868205673414e-7
0.08135489017616736: 12,34,56,7,
0.08135514876298792: 12,56,34,7,
0.08151871438154225: 34,56,12,7,
0.08152352148421145: 34,12,56,7,
0.08225948146129336: 34,7,12,56,
========================================================
Actual Structure: 12,34,5,76,
(True network -symmetric) YES! It is selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 1
(True network -symmetric) Invariant difference: 0.0
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 9
(True network) Invariant difference: 0.009401500267172042
0.06743142011703356: 12,5,34,67,
0.06743142012235073: 12,34,67,5,
0.06743142012235073: 12,67,34,5,
0.0723247742831205: 12,5,67,34,
0.07493624098013797: 34,12,67,5,
========================================================
Actual Structure: 12,3,56,74,
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 8
(True network) Invariant difference: 0.0046870353010426
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) NO! It is not selected as one of the top 5 networks
(True network -symmetric) Rank: 15
(True network -symmetric) Invariant difference: 0.00900036167247107
0.0542767662446686: 12,47,56,3,
0.0542767662446686: 12,56,47,3,
0.05672147913723123: 12,3,47,56,
0.058169885803427114: 56,12,47,3,
0.05818407612465263: 56,47,12,3,
========================================================
Actual Structure: 1,34,56,72,
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 13
(True network) Invariant difference: 0.005199589215162861
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) NO! It is not selected as one of the top 5 networks
(True network -symmetric) Rank: 17
(True network -symmetric) Invariant difference: 0.007722594214739829
0.01897428479451136: 34,1,56,27,
0.018974288946261828: 34,27,56,1,
0.01897428894626183: 34,56,27,1,
0.021254672774923218: 34,1,27,56,
0.021495874319439: 56,27,34,1,
========================================================
Actual Structure: 12,34,5,6,
(True network) NO! It is not selected as the top network
(True network) YES! It is selected as one of the top 5 networks
(True network) Rank: 3
(True network) Invariant difference: 1.196946187997927e-9
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 4
(True network -symmetric) Invariant difference: 1.196946187997927e-9
0.018856182841397773: 12,34,6,5,
0.018856182841397773: 12,6,34,5,
0.01885618403834396: 12,34,5,6,
0.01885618403834396: 12,5,34,6,
0.020039554020732805: 34,12,5,6,
========================================================
Actual Structure: 12,3,54,6,
(True network) NO! It is not selected as the top network
(True network) YES! It is selected as one of the top 5 networks
(True network) Rank: 3
(True network) Invariant difference: 0.0006863402534996038
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 4
(True network -symmetric) Invariant difference: 0.0006863402534996038
0.04347338450740671: 45,3,6,12,
0.04360793830354522: 45,6,3,12,
0.044159724760906315: 12,3,45,6,
0.044159724760906315: 12,45,3,6,
0.044159780995332416: 12,45,6,3,
========================================================
Actual Structure: 12,3,5,46,
(True network) NO! It is not selected as the top network
(True network) YES! It is selected as one of the top 5 networks
(True network) Rank: 2
(True network) Invariant difference: 0.0
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) YES! It is selected as one of the top 5 networks
(True network -symmetric) Rank: 5
(True network -symmetric) Invariant difference: 0.0
0.05077182070575941: 12,3,46,5,
0.05077182070575941: 12,3,5,46,
0.05077182070575941: 12,46,3,5,
0.05077182070575941: 12,46,5,3,
0.05077182070575941: 12,5,3,46,
========================================================
Actual Structure: 1,34,56,2,
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) NO! It is not selected as one of the top 5 networks
(True network -symmetric) Rank: 13
(True network -symmetric) Invariant difference: 0.007560884655509456
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 14
(True network) Invariant difference: 0.007561234270067024
0.06848664058014249: 56,1,34,2,
0.06848664058014249: 56,34,1,2,
0.06848664061776845: 56,2,34,1,
0.06848664061776845: 56,34,2,1,
0.06905170386164879: 56,1,2,34,
========================================================
Actual Structure: 1,34,2,56,
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 10
(True network) Invariant difference: 0.004198500489642716
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) NO! It is not selected as one of the top 5 networks
(True network -symmetric) Rank: 16
(True network -symmetric) Invariant difference: 0.006633312419655542
0.058687906238396: 34,1,56,2,
0.058687906238396: 34,56,1,2,
0.0586879092128727: 34,2,56,1,
0.0586879092128727: 34,56,2,1,
0.05887924116753359: 56,2,34,1,
========================================================
Actual Structure: 1,2,34,56,
(True network -symmetric) NO! It is not selected as the top network
(True network -symmetric) NO! It is not selected as one of the top 5 networks
(True network -symmetric) Rank: 17
(True network -symmetric) Invariant difference: 0.004294508289453769
(True network) NO! It is not selected as the top network
(True network) NO! It is not selected as one of the top 5 networks
(True network) Rank: 20
(True network) Invariant difference: 0.005658288479943048
0.03645695998314424: 34,1,56,2,
0.03645695998314424: 34,2,56,1,
0.03645695998314424: 34,56,1,2,
0.03645695998314424: 34,56,2,1,
0.03697579379528917: 56,1,34,2,
