P249: Enumeration of all non-crossing spanning connected graphs on a given point set in the plane

P249: Enumeration of all non-crossing spanning connected graphs on a given point set in the plane
Input:
A fixed point set $P$.
Output:
All non-crossing spanning connected graphs on $P$.
Complexity:
$O(N)$ total time.
Comment:
$N$ is the number of solutions.
Reference:
[Katoh2009a] (Bibtex)