Combinatorial Data
Inspired by Brendan McKay's page of the same name, this page contains some data from various research projects. It is still a work in progress.
Last update: 9/23/25
Ramsey R(3,3,3;n) colorings:
All colorings are given in the multicolor (.mc) format.
3 vertices (2 colorings)
4 vertices (9 colorings)
5 vertices (36 colorings)
6 vertices (330 colorings)
7 vertices (3829 colorings)
8 vertices (50391 colorings)
9 vertices (500023 colorings)
10 vertices (zipped) (2646593 colorings)
11 vertices (zipped) (4821244 colorings)
12 vertices (zipped) (1929792 colorings)
13 vertices (78892 colorings)
14 vertices (115 colorings)
15 vertices (2 colorings)
16 vertices (2 colorings)
Ramsey R(Br,Bs) critical graphs:
All graphs are in the graph6 (.g6) format.
| r |
s |
R(Br,Bs) |
critical graphs |
| 1 |
1 |
6 |
1 |
| 1 |
2 |
7 |
4 |
| 1 |
3 |
9 |
8 |
| 1 |
4 |
11 |
7 |
| 1 |
5 |
13 |
8 |
| 1 |
6 |
15 |
8 |
| 1 |
7 |
17 |
10 |
| 1 |
8 |
19 |
10 |
| 2 |
2 |
10 |
1 |
| 2 |
3 |
11 |
4 |
| 2 |
4 |
13 |
6 |
| 2 |
5 |
16 |
1 |
| 2 |
6 |
17 |
3 |
| 2 |
7 |
18 |
65 |
| 2 |
8 |
21 |
1 |
| 2 |
9 |
22 |
72 |
| 2 |
10 |
25 |
5 |
| 2 |
11 |
28 |
1 |
| 2 |
12 |
28 |
10 |
| 3 |
3 |
14 |
1 |
| 3 |
4 |
15 |
1 |
| 3 |
5 |
17 |
10 |
| 3 |
6 |
19 |
4 |
| 3 |
7 |
20 |
29 |
| 4 |
4 |
18 |
1 |
| 4 |
5 |
19 |
27 |
| 5 |
5 |
21 |
247 |
| 5 |
6 |
23 |
23 |
| 6 |
6 |
26 |
15 |