Two empty graphs:
( )

Two singleton graphs:
( 0 )

Empty and singleton graphs:

Singleton and empty graphs:
( )

Ring with add vertex and edge (ring+) and ring:
( 0 1 2 3 5 )
( 0 5 3 2 1 )
( 1 0 5 3 2 )
( 1 2 3 5 0 )
( 2 1 0 5 3 )
( 2 3 5 0 1 )
( 3 2 1 0 5 )
( 3 5 0 1 2 )
( 5 0 1 2 3 )
( 5 3 2 1 0 )

Ring+ and ring, directed:
( 0 1 2 3 5 )
( 1 2 3 5 0 )
( 2 3 5 0 1 )
( 3 5 0 1 2 )
( 5 0 1 2 3 )

Ring+ and ring where node parity should be equal:

Ring+ and ring where edge parity should be equal:
( 1 0 5 3 2 )
( 1 2 3 5 0 )

Ring+ and ring with only one vertex coloring:
( 0 1 2 3 5 )
( 0 5 3 2 1 )
( 1 0 5 3 2 )
( 1 2 3 5 0 )
( 2 1 0 5 3 )
( 2 3 5 0 1 )
( 3 2 1 0 5 )
( 3 5 0 1 2 )
( 5 0 1 2 3 )
( 5 3 2 1 0 )

Ring+ and ring with vertex coloring:
( 0 1 2 3 5 )
( 5 3 2 1 0 )

Ring+ and ring with edge coloring:
( 0 1 2 3 5 )
( 0 5 3 2 1 )

Ring+ and ring where node of graph 1 should not be 3 higher than node of graph 2:
( 0 1 2 3 5 )
( 0 5 3 2 1 )
( 1 2 3 5 0 )
( 2 1 0 5 3 )
( 5 0 1 2 3 )
( 5 3 2 1 0 )

Ring+ and ring with different directedness.