algorithm - Count number of cycles in directed graph using DFS -

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i want count total number of directed cycles available in directed graph (only count required).

you can assume graph given adjacency matrix.

i know dfs not make working algorithm problem.

please provide pseudo code using dfs.

let consider , coloring nodes 3 types of color . if node yet discovered color white . if node discovered of descendants is/are yet discovered color grey. otherwise color black . now, while doing dfs if face situation when, there edge between 2 grey nodes graph has cycle. total number of cycles total number of times face situation mentioned above i.e. find edge between 2 grey nodes .


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