P297: Enumeration of all triangulation paths of a point set

P297: Enumeration of all triangulation paths of a point set
Input:
A point set $P$.
Output:
All triangulation paths of $P$.
Complexity:
$O(N|P|^3\log |P|)$ time and $O(|P|)$ space.
Comment:
$N$ is the number of solutions.
Reference:
[Dumitrescu2001] (Bibtex)