P204: Enumeration of all minimal edge-dominating sets in a graph

P204: Enumeration of all minimal edge-dominating sets in a graph
Input:
A graph $G$.
Output:
All minimal edge-dominating sets in $G$.
Complexity:
$O(||L(G)||^5N^6)$ total time.
Comment:
$L(G)$ is the line graph of $G$, $||L(G)||$ is the size of $L(G)$, and $N$ is the number of minimal edge-dominating sets in $G$.
Reference:
[Kante2012] (Bibtex)