P248: Enumeration of all plane graphs on a given point set in the plane

P248: Enumeration of all plane graphs on a given point set in the plane
Input:
A fixed point set $P$.
Output:
All plane graphs on $P$.
Complexity:
$O(N)$ total time.
Comment:
$N$ is the number of solutions.
Reference:
[Katoh2009a] (Bibtex)