P30: Enumerate well-ordered (strongly) $k$-generate with $n$ vertices

P30: Enumerate well-ordered (strongly) $k$-generate with $n$ vertices
Input:
$n$: the number of vertices.
Output:
All well-ordered (strongly) $k$-degenerate graphs with $n$ vertices.
Complexity:
$O(nm+m^2)$ time per enumerated and printed graph.
Comment:
$m$ is the number of edges of printed graphs.
Reference:
[Bauer2010a] (Bibtex)