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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 GT
Step 3: Execute DFS in GT
Step 4: Output the vertices of each of tree within the depth-first forest of Step 3 as a separate strongly connected component.
Explain principle of Optimality It indicates that an optimal solution to any instance of an optimization problem is composed of optimal solutions to its subinstances.
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