P203: Enumeration of all minimal dominating sets in a path graph or $(C_4, C_5, craw)$-free graph

P203: Enumeration of all minimal dominating sets in a path graph or $(C_4, C_5, craw)$-free graph
Input:
A line graph or $(C_4, C_5, craw)$-free graph $G$.
Output:
All minimal dominating sets in $G$.
Complexity:
$O(||G||^2N^3)$ total time.
Comment:
$||G||$ is the size of $G$ and $N$ is the number of minimal dominating sets in $G$.
Reference:
[Kante2012] (Bibtex)