P56: Enumeration of the $k$ shortest paths in a graph

P56: Enumeration of the $k$ shortest paths in a graph
Input:
A graph $G = (V, E)$ and an integer $k$.
Output:
The $k$ smallest shortest paths in $G$.
Complexity:
$O(k|E|)$ total time.
Comment:
Reference:
[Azevedo1993] (Bibtex)