Connected quartic graphs

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
40000
51000
61000
72000
86100
916000
1059200
11265200
1215441200
13107783100
148816822000
15805491160600
1680374181682800
178622163419390000
18985870522245281800
19119464876473267033010
20?45602847420
21??80
22??1310
23??39170
24??1238590
25??41319910
26??1321606081
27???0
28???1
29???0
30???4
31???0
32???19
33???0
34???1272
35???25
36???494031
37???13504
38???196957034