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Network Flow Algorithms

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Edmonds-Karp Algorithm

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An implementation of the Ford-Fulkerson method that uses the shortest augmenting path rule, resulting in a time complexity of O(VE2)O(VE^2), where VV is the number of vertices and EE is the number of edges.

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Dinic's Algorithm

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Dinic's algorithm solves the maximum flow problem using a level graph, which leads to an overall time complexity of O(V2E)O(V^2E) in the worst case.

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Push-Relabel Algorithm

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The Push-Relabel algorithm determines the maximum flow in a flow network using preflow concept and relabeling the vertices. Its time complexity is O(V3)O(V^3).

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Ford-Fulkerson Algorithm

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The Ford-Fulkerson algorithm solves the maximum flow problem by incrementally improving the flow along the paths. Time complexity, in worst case, is O(Ef)O(Ef), where EE is the number of edges and ff is the maximum flow in the network.

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