Quartic or 4-regular graphs are graphs where every vertex has degree 4.
Some of the data available here is a copy (as of 2015-08-12) of the data available at Markus Meringer's web page .
The graph lists are currently only available in 'graph6' format. The larger files are compressed with gzip.
All counts and generated graphs were obtained using the program genreg by Markus Meringer.
Vertices | Girth ≥ 3 | Girth ≥ 4 | Girth ≥ 5 | Girth ≥ 6 |
---|---|---|---|---|
4 | 0 | 0 | 0 | 0 |
5 | 1 | 0 | 0 | 0 |
6 | 1 | 0 | 0 | 0 |
7 | 2 | 0 | 0 | 0 |
8 | 6 | 1 | 0 | 0 |
9 | 16 | 0 | 0 | 0 |
10 | 59 | 2 | 0 | 0 |
11 | 265 | 2 | 0 | 0 |
12 | 1544 | 12 | 0 | 0 |
13 | 10778 | 31 | 0 | 0 |
14 | 88168 | 220 | 0 | 0 |
15 | 805491 | 1606 | 0 | 0 |
16 | 8037418 | 16828 | 0 | 0 |
17 | 86221634 | 193900 | 0 | 0 |
18 | 985870522 | 2452818 | 0 | 0 |
19 | 11946487647 | 32670330 | 1 | 0 |
20 | ? | 456028474 | 2 | 0 |
21 | ? | ? | 8 | 0 |
22 | ? | ? | 131 | 0 |
23 | ? | ? | 3917 | 0 |
24 | ? | ? | 123859 | 0 |
25 | ? | ? | 4131991 | 0 |
26 | ? | ? | 132160608 | 1 |
27 | ? | ? | ? | 0 |
28 | ? | ? | ? | 1 |
29 | ? | ? | ? | 0 |
30 | ? | ? | ? | 4 |
31 | ? | ? | ? | 0 |
32 | ? | ? | ? | 19 |
33 | ? | ? | ? | 0 |
34 | ? | ? | ? | 1272 |
35 | ? | ? | ? | 25 |
36 | ? | ? | ? | 494031 |
37 | ? | ? | ? | 13504 |
38 | ? | ? | ? | 196957034 |