P362: Enumeration of all directed minimum spanning trees in an directed graph

P362: Enumeration of all directed minimum spanning trees in an directed graph
Input:
A directed graph $G = (V, E)$.
Output:
All directed minimum spanning trees in $G$.
Complexity:
$O(|V|\log \beta(|E|, |V|))$ total time.
Comment:
$\beta(|E|, |V|) = \min\{i | \log^{(i)}|V| \le |E|/|N|\}$.
Reference:
[Gabow1986a] (Bibtex)