P122: Enumeration of all the edge colorings in a bipartite graph

P122: Enumeration of all the edge colorings in a bipartite graph
Input:
A bipartite graph $G = (V, E)$.
Output:
All edge colorings in $G$.
Complexity:
$O(\Delta|E|)$ time per solution and space.
Comment:
$\Delta$ is the maximum degree in $G$.
Reference:
[Yasuko1994] (Bibtex)