P18: Enumeration of all plane graphs

P18: Enumeration of all plane graphs
Input:
$m$: the maximum number of edges.
Output:
All connected non-rooted plane graphs with at most $m$ edges.
Complexity:
$O(m^3)$ time per graph with $O(m)$ space.
Comment:
This algorithm does not outputs the entire graph but the difference from previous one.
Reference:
[Yamanaka2009] (Bibtex)