Algorithm for determining strongly connected components, Data Structure & Algorithms

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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.

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