P63: Enumeration of all minimum cost perfect matchings in an weighted bipartite graph

P63: Enumeration of all minimum cost perfect matchings in an weighted bipartite graph
Input:
An weighted bipartite graph $B = (V, E)$.
Output:
All minimum cost perfect matchings in $B$.
Complexity:
$O(|V|(|V| + |E|))$ time per solution and $O(|V| + |E|)$ space
Comment:
Reference:
[Fukuda1992] (Bibtex)