P228: Enumeration of $z$ smallest weighted edge dominating sets in a graph

P228: Enumeration of $z$ smallest weighted edge dominating sets in a graph
Input:
An weighted graph $G = (V, E)$, and positive integers $k$ and $z$. Each edge of $G$ has a positive weight.
Output:
$z$ smallest weighted edge dominating sets in $G$.
Complexity:
$O(5.6^{2k}k^4z^2 +4^{2k}k^3z|V|)$ total time.
Comment:
Reference:
[Wang2009] (Bibtex)