P171: Enumeration of all triangulations of a convex polygon of $n$ vertices with numbered

P171: Enumeration of all triangulations of a convex polygon of $n$ vertices with numbered
Input:
A convex polygon $P$ with $n$ vertices that are numbered.
Output:
All triangulations of $P$.
Complexity:
$O(1)$ time per triangulation and $O(n)$ space.
Comment:
Reference:
[Parvez2009] (Bibtex)