P31: Enumerate well-ordered (strongly) $k$-generate with $n$ vertices and $m$ edges

P31: Enumerate well-ordered (strongly) $k$-generate with $n$ vertices and $m$ edges
Input:
$n$: the number of vertices, $m$: the number of edges.
Output:
All well-ordered (strongly) $k$-degenerate graphs with $n$ vertices and $m$ edges.
Complexity:
$O(n^{3/2}m^2)$ time per enumerated and printed graph.
Comment:
Reference:
[Bauer2010a] (Bibtex)