P175: Enumeration of all realizer of a triangulated planar graph

P175: Enumeration of all realizer of a triangulated planar graph
Input:
A triangulated planar graph $G = (V, E)$.
Output:
All realizer of $G$.
Complexity:
$O(|V|)$ time per realizer.
Comment:
Reference:
[Yamanaka2006] (Bibtex)