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Network Flow Algorithms
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Edmonds-Karp Algorithm
An implementation of the Ford-Fulkerson method that uses the shortest augmenting path rule, resulting in a time complexity of , where is the number of vertices and is the number of edges.
Dinic's Algorithm
Dinic's algorithm solves the maximum flow problem using a level graph, which leads to an overall time complexity of in the worst case.
Push-Relabel Algorithm
The Push-Relabel algorithm determines the maximum flow in a flow network using preflow concept and relabeling the vertices. Its time complexity is .
Ford-Fulkerson Algorithm
The Ford-Fulkerson algorithm solves the maximum flow problem by incrementally improving the flow along the paths. Time complexity, in worst case, is , where is the number of edges and is the maximum flow in the network.
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