G1:
Adjacency Matrix for G1
     0  1  2  3  4  5  6  7  8  9
    -- -- -- -- -- -- -- -- -- --
 0 | 0  0  0  0  0  0  0  0  0  0
 1 | 0  0  0  1  0  0  0  0  0  0
 2 | 0  0  0  0  0  0  0  0  0  0
 3 | 0  1  0  0  0  1  0  0  0  0
 4 | 0  0  0  0  0  0  1  1  0  1
 5 | 0  0  0  1  0  0  0  0  0  0
 6 | 0  0  0  0  1  0  0  0  1  0
 7 | 0  0  0  0  1  0  0  0  0  0
 8 | 0  0  0  0  0  0  1  0  0  0
 9 | 0  0  0  0  1  0  0  0  0  0