P209: Enumeration of all triconnected rooted plane graphs

P209: Enumeration of all triconnected rooted plane graphs
Input:
An integer $n$.
Output:
All triconnected rooted plane graphs with $n$ vertices.
Complexity:
$O(n^3)$ delay with $O(n)$ space after $O(n)$ time preprocessing.
Comment:
Reference:
[Zhuang2010] (Bibtex)