P170: Enumeration of all biconnected plane triangulations with $n$ vertices and $r$ vertices on the outer faces

P170: Enumeration of all biconnected plane triangulations with $n$ vertices and $r$ vertices on the outer faces
Input:
Integers $n$ and $r$.
Output:
All biconnected plane triangulations with $n$ vertices and $r$ vertices on the outer faces.
Complexity:
$O(rn)$ time per triangulation and $O(n)$ space.
Comment:
Reference:
[Nakano2004b] (Bibtex)