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Kosaraju's Algorithm - Technical Overview

1. Algorithm Description: Kosaraju's Algorithm finds all strongly connected components (SCCs) of a directed graph.

2. Steps of Kosaraju's Algorithm:

• Perform a DFS on the original graph to get the finishing times.
• Transpose (reverse) the graph.
• Perform a DFS on the transposed graph in the order of finishing times to identify SCCs.

3. Time Complexity: O(V + E) where V is the number of vertices and E is the number of edges.

4. Space Complexity: O(V) due to the storage of the stack and the visited array.

5. Usage: Kosaraju's Algorithm is used in network analysis, compilers, and various applications in graph theory.