Ranking football clubs by the dominant eigenvector of the normalized points-won matrix.

Champions League 2017-18

2016-17 2018-19

EP Pts W D L GF GA GP PR
1 FC Barcelona 19.844 21 6 3 1 17 6 10 4
2 Real Madrid 13.534 29 9 2 2 33 16 13 2
3 Juventus 11.741 18 5 3 2 14 12 10 8
4 AS Roma 10.033 20 6 2 4 21 19 12 6
5 Tottenham Hotspur 8.066 17 5 2 1 18 8 8 10
6 Liverpool 5.574 31 9 4 2 47 19 15 1
7 Chelsea 5.030 12 3 3 2 17 12 8 20
8 Atlético Madrid 3.406 7 1 4 1 5 4 6 33
9 Bayern München 3.315 26 8 2 2 26 12 12 3
10 Shakhtar Donetsk 3.102 15 5 0 3 11 11 8 16
11 Sevilla FC 2.081 18 4 6 2 19 18 12 9
12 Manchester City 1.842 18 6 0 4 20 12 10 7
13 Sporting CP 1.674 11 3 2 3 13 10 8 23
14 Olympiacos Piraeus 1.417 11 3 2 5 12 17 10 25
15 Qarabağ FK 1.362 15 4 3 5 12 17 12 17
16 FC Basel 0.833 15 5 0 3 13 10 8 15
17 SSC Napoli 0.816 12 4 0 4 15 11 8 21
18 Manchester United 0.747 16 5 1 2 13 5 8 11
19 Paris Saint-Germain 0.737 15 5 0 3 27 9 8 14
20 FC København 0.681 9 3 0 3 10 7 6 28
21 Spartak Moskva 0.582 6 1 3 2 9 13 6 38
22 Vardar Skopje 0.454 7 2 1 1 6 6 4 34
23 NK Maribor 0.434 16 4 4 4 10 20 12 13
24 CSKA Moskva 0.347 21 7 0 3 14 10 10 5
25 FC Porto 0.335 11 3 2 3 15 15 8 24
26 Beşiktaş 0.290 14 4 2 2 12 13 8 19
27 MŠK Žilina 0.227 3 1 0 1 3 4 2 51
28 Hapoel Be'er Sheva 0.217 12 4 0 2 10 8 6 22
29 Steaua București 0.209 5 1 2 1 7 8 4 42
30 İstanbul Başakşehir FK 0.173 5 1 2 1 8 7 4 39
31 Ludogorets Razgrad 0.145 6 2 0 2 8 6 4 36
32 Partizan 0.142 5 1 2 1 5 5 4 40
33 Feyenoord 0.122 3 1 0 5 5 14 6 56
34 FC Sheriff Tiraspol 0.114 4 1 1 2 3 4 4 45
35 RB Leipzig 0.085 7 2 1 3 10 11 6 35
36 FK Žalgiris Vilnius 0.072 3 1 0 1 3 5 2 52
37 FK Kukësi 0.057 3 1 0 1 2 2 2 49
37 Malmö FF 0.057 1 0 1 1 2 4 2 68
39 Viktoria Plzeň 0.026 1 0 1 1 3 6 2 70
40 AS Monaco 0.023 2 0 2 4 6 16 6 61
41 Club Brugge KV 0.022 1 0 1 1 3 5 2 67
42 Zrinjski Mostar 0.018 1 0 1 1 2 3 2 63
43 FK Budućnost Podgorica 0.018 1 0 1 1 0 2 2 69
44 Celtic 0 16 5 1 6 20 22 12 12
44 APOEL Nicosia 0 15 4 3 5 10 18 12 18
44 FK Astana 0 10 3 1 2 9 11 6 26
44 Legia Warszawa 0 9 3 0 1 11 3 4 27
44 RB Salzburg 0 8 2 2 0 7 1 4 29
44 HNK Rijeka 0 8 2 2 2 9 5 6 30
44 Víkingur 0 7 2 1 1 7 5 4 31
44 BATE Borisov 0 7 2 1 1 6 4 4 32
44 Hibernians FC 0 6 2 0 2 3 6 4 37
44 Rosenborg BK 0 5 1 2 1 3 3 4 41
44 FC Alashkert 0 5 1 2 1 4 5 4 43
44 FH Hafnarfjörður 0 4 1 1 2 3 3 4 44
44 Slavia Praha 0 4 1 1 2 2 4 4 46
44 Linfield 0 4 1 1 2 1 6 4 47
44 Dinamo Kiev 0 3 1 0 1 3 3 2 48
44 Europa FC 0 3 1 0 1 3 4 2 50
44 BSC Young Boys 0 3 1 0 3 3 6 4 53
44 FC Viitorul Constanța 0 3 1 0 1 1 4 2 54
44 The New Saints 0 3 1 0 3 5 10 4 55
44 RSC Anderlecht 0 3 1 0 5 2 17 6 57
44 AFC Ajax 0 2 0 2 0 3 3 2 58
44 OGC Nice 0 2 0 2 2 3 7 4 59
44 Borussia Dortmund 0 2 0 2 4 7 13 6 60
44 Dundalk FC 0 1 0 1 1 2 3 2 62
44 FC Santa Coloma 0 1 0 1 1 1 2 2 64
44 FK Spartaks 0 1 0 1 1 1 2 2 65
44 SP La Fiorita 0 1 0 1 1 0 1 2 66
44 Budapest Honvéd 0 0 0 0 2 3 5 2 71
44 F91 Dudelange 0 0 0 0 2 0 2 2 72
44 1899 Hoffenheim 0 0 0 0 2 3 6 2 73
44 AEK Athens 0 0 0 0 2 0 3 2 74
44 FC Infonet 0 0 0 0 2 0 3 2 75
44 KF Trepça'89 0 0 0 0 2 2 6 2 76
44 FC Samtredia 0 0 0 0 2 0 6 2 77
44 IFK Mariehamn 0 0 0 0 2 0 9 2 78
44 SL Benfica 0 0 0 0 6 1 14 6 79

EigenPoints, Points, Wins, Draws, Losses, GoalsFor, GoalsAgainst, GamesPlayed, PointsRank.

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Matches decided on penalties are treated as ties.