Edmonds-Karp Algorithm for Max Flow 🔄

The Edmonds-Karp algorithm is an implementation of the Ford-Fulkerson method to solve the Maximum Flow Problem in a flow network.

🔹 How it works:
1️⃣ Start with zero flow in the network.
2️⃣ Use Breadth-First Search (BFS) to find the shortest augmenting path from source (S) to sink (T).
3️⃣ Add flow along this path equal to the minimum residual capacity (bottleneck).
4️⃣ Update the residual graph (reduce forward edge capacity, increase reverse edge capacity).
5️⃣ Repeat until no augmenting path exists.

💡 Time Complexity: O(VE²)
✨ Real-world uses: network routing, bipartite matching, traffic optimization.

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