Table 1.
The n-Taxon Species Trees with the Maximum Number of Rankings for a Labeled Topology.
| n | n | n | n | ||||
|---|---|---|---|---|---|---|---|
| 2 | (1, 1) | 18 | (10, 8) | 34 | (18, 16) | 50 | (32, 18) |
| 3 | (2, 1) | 19 | (11, 8) | 35 | (19, 16) | 51 | (32, 19) |
| 4 | (2, 2) | 20 | (12, 8) | 36 | (20, 16) | 52 | (32, 20) |
| 5 | (3, 2) | 21 | (13, 8) | 37 | (21, 16) | 53 | (32, 21) |
| 6 | (4, 2) | 22 | (14, 8) | 38 | (22, 16) | 54 | (32, 22) |
| 7 | (4, 3) | 23 | (15, 8) | 39 | (23, 16) | 55 | (32, 23) |
| 8 | (4, 4) | 24 | (16, 8) | 40 | (24, 16) | 56 | (32, 24) |
| 9 | (5, 4) | 25 | (16, 9) | 41 | (25, 16) | 57 | (32, 25) |
| 10 | (6, 4) | 26 | (16, 10) | 42 | (26, 16) | 58 | (32, 26) |
| 11 | (7, 4) | 27 | (16, 11) | 43 | (27, 16) | 59 | (32, 27) |
| 12 | (8, 4) | 28 | (16, 12) | 44 | (28, 16) | 60 | (32, 28) |
| 13 | (8, 5) | 29 | (16, 13) | 45 | (29, 16) | 61 | (32, 29) |
| 14 | (8, 6) | 30 | (16, 14) | 46 | (30, 16) | 62 | (32, 30) |
| 15 | (8, 7) | 31 | (16, 15) | 47 | (31, 16) | 63 | (32, 31) |
| 16 | (8, 8) | 32 | (16, 16) | 48 | (32, 16) | 64 | (32, 32) |
| 17 | (9, 8) | 33 | (17, 16) | 49 | (32, 17) | 65 | (33, 32) |
Note.—The tree with the maximum number of rankings splits into (left, right) subtrees with leaves. The n-taxon species tree with the maximum number of rankings Tn has taxa descended from one side of the root and from the other side.