Graphs on 12 vertices

#edges Connected graphs All graphs
0 0 1
1 0 1
2 0 2
3 0 5
4 0 11
5 0 26
6 0 68
7 0 175
8 0 485
9 0 1405
10 0 4191
11 551 12763
12 5026 39243
13 28908 119890
14 130365 359307
15 499888 1043774
16 1694642 2911086
17 5184582 7739601
18 14484609 19515361
19 37234106 46505609
20 88525650 104504341
21 195410521 221147351
22 401665379 440393606
23 770641945 825075506
24 1382812173 1454265734
25 2324370686 2411961516
26 3665000607 3765262970
27 5427096867 5534255092
28 7554423219 7661345277
29 9892755100 9992340187
30 12195279971 12281841209
31 14159301249 14229503560
32 15489241571 15542350436
33 15968704512 16006173014
34 15517703745 15542350436
35 14214388740 14229503560
36 12273198300 12281841209
37 9987729903 9992340187
38 7659048949 7661345277
39 5533185036 5534255092
40 3764795097 3765262970
41 2411768702 2411961516
42 1454190308 1454265734
43 825047242 825075506
44 440383354 440393606
45 221143686 221147351
46 104503035 104504341
47 46505142 46505609
48 19515189 19515361
49 7739534 7739601
50 2911060 2911086
51 1043763 1043774
52 359302 359307
53 119888 119890
54 39242 39243
55 12762 12763
56 4191 4191
57 1405 1405
58 485 485
59 175 175
60 68 68
61 26 26
62 11 11
63 5 5
64 2 2
65 1 1
66 1 1
Total 164059830476 165091172592



Gordon Royle, July 1996, gordon@cs.uwa.edu.au