P412: Enumeration of all cycles in a finite undirected graph

P412: Enumeration of all cycles in a finite undirected graph
Input:
A finite undirected graph $G$.
Output:
All cycles in $G$.
Complexity:
Comment:
He claimed that J. T. Welch, Jr.'s algorithm is wrong.
Reference:
[Weinblatt1972] (Bibtex)