P58: Enumeration of the $k$ shortest paths in a directed graph

P58: Enumeration of the $k$ shortest paths in a directed graph
Input:
A directed graph $G = (V, E)$ and an integer $k$.
Output:
The $k$ smallest shortest paths in $G$.
Complexity:
$O(k|E|)$ total time
Comment:
Reference:
[Eppstein1998] (Bibtex)