Algorithm for determining strongly connected components of a Graph:

Strongly Connected Components (G)

where d[u] = discovery time of the vertex u throughout DFS , f[u] = finishing time of a vertex u throughout DFS, GT    = Transpose of the adjacency matrix

Step 1: Use DFS(G) to calculate f[u] ∀u∈V

Step 2: calculate G^T

Step 3: Execute DFS in G^T

Step 4: Output the vertices of each of tree within the depth-first forest of Step 3 as a separate strongly connected component.