P174: Enumeration of all $(s, t)$-orientations of a biconnected planar graph

P174: Enumeration of all $(s, t)$-orientations of a biconnected planar graph
Input:
A biconnected planar graph $G = (V, E)$ and an edge $(s, t)$ in $G$.
Output:
All $(s, t)$-orientations of $G$.
Complexity:
$O(|V|)$ time per solution.
Comment:
Reference:
[Setiawan2011] (Bibtex)