Number of isomorphic graphs of various sizes extending small ones


4-graph:        5-graphs:        6-graphs:        7-graphs:        8-graphs:


0 00 000         5                36                359                5915
0 00 001         7                51                430                5130
0 00 011         6                27                140                 875
0 00 111         2                 4                  8                  16
0 01 011         5                23                 85                 375
0 01 100         1                 2                  3                   6
0 01 101         3                 6                 11                  19
0 01 111         2                 3                  4                   5
0 11 110         1                 2                  2                   3
0 11 111         1                 1                  1                   1
1 11 111         1                 1                  1                   1
                34               156               1044               12346
                
5-graphs:                6-graphs:        7-graphs:        8-graphs:

    1: 0 00 000 0000         6                 58                 930
    2: 0 00 000 0001        10                131                2555
    3: 0 00 000 0011        12                134                2186
    4: 0 00 000 0111         6                 32                 233
    5: 0 00 000 1111         2                  4                  11
    6: 0 00 001 0011         9                116                1899
    7: 0 00 001 0100         7                 56                 600
    8: 0 00 001 0101        11                106                1360
    9: 0 00 001 0111        10                 92                 952
   10: 0 00 001 1100         6                 30                 176
   11: 0 00 001 1101         6                 26                 133
   12: 0 00 001 1111         2                  4                  10
   13: 0 00 011 0110         4                 29                 217
   14: 0 00 011 0111         7                 60                 473
   15: 0 00 011 1010         6                 19                  74
   16: 0 00 011 1011         4                 17                  68
   17: 0 00 011 1110         4                 11                  34
   18: 0 00 011 1111         2                  4                   9
   19: 0 00 111 1110         3                  7                  15
   20: 0 00 111 1111         1                  1                   1
   21: 0 01 011 0111         6                 37                 223
   22: 0 01 011 1000         4                 10                  26
   23: 0 01 011 1001         6                 19                  71
   24: 0 01 011 1011         5                 16                  48
   25: 0 01 011 1111         2                  3                   7
   26: 0 01 100 1111         1                  3                   6
   27: 0 01 101 1100         1                  2                   3
   28: 0 01 101 1101         3                  6                  11
   29: 0 01 101 1111         2                  3                   5
   30: 0 01 111 1110         2                  3                   4
   31: 0 01 111 1111         1                  1                   1
   32: 0 11 110 1111         2                  2                   3
   33: 0 11 111 1111         1                  1                   1
   34: 1 11 111 1111         1                  1                   1
                           156               1044               12346