P220: Enumeration of all internally triconnected planar graphs

P220: Enumeration of all internally triconnected planar graphs
Input:
Integers $n$ and $g$.
Output:
All internally triconnected planar graphs with exactly $n$ vertices such that $\kappa(G) = 2$ and the size of each inner face is at most $g$.
Complexity:
$O(n^3)$ time per solution on average with $O(n)$ space.
Comment:
Reference:
[Zhuang2010a] (Bibtex)