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User:Jason Kimberley/C girth ge 8
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A186718: Connected regular graphs with girth at least 8
The following table contains numbers of connected regular graphs having girth at least eight and with the given degree and number of vertices.
Not necessarily connected 2-regular with girth exactly 8 are given by A026801.
These (for k>2) are the output from Markus Meringer's GENREG. The italicised values are from JSK running GENREG at The University of Newcastle High Performance Computing Facility for the durations described in the column sequences.
| A185118 | A014376 | ||
| Vertices | Degree 2 | Degree 3 | Degree 4 |
|---|---|---|---|
| 0 | 1 | ||
| 1 | 0 | ||
| 2 | 0 | ||
| 3 | 0 | ||
| 4 | 0 | ||
| 5 | 0 | ||
| 6 | 0 | ||
| 7 | 0 | ||
| 8 | 1 | ||
| 9 | 1 | ||
| 10 | 1 | ||
| 11 | 1 | ||
| 12 | 1 | ||
| 13 | 1 | ||
| 14 | 1 | ||
| 15 | 1 | ||
| 16 | 1 | ||
| 17 | 1 | ||
| 18 | 1 | ||
| 19 | 1 | ||
| 20 | 1 | ||
| 21 | 1 | ||
| 22 | 1 | ||
| 23 | 1 | ||
| 24 | 1 | ||
| 25 | 1 | ||
| 26 | 1 | ||
| 27 | 1 | ||
| 28 | 1 | ||
| 29 | 1 | ||
| 30 | 1 | 1 | |
| 32 | 1 | 0 | |
| 34 | 1 | 1 | |
| 36 | 1 | 3 | |
| 38 | 1 | 13 | |
| 40 | 1 | 155 | |
| 42 | 1 | 4337 | |
| 44 | 1 | 266362 | |
| 46 | 1 | 20807688 | |
| ... | |||
| 80 | 1 | 1 |
