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In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in (| | | |) time. The algorithm was first published by Yefim Dinitz in 1970, [ 1 ] [ 2 ] and independently published by Jack Edmonds and Richard Karp in 1972. [ 3 ]
The name "Ford–Fulkerson" is often also used for the Edmonds–Karp algorithm, which is a fully defined implementation of the Ford–Fulkerson method. The idea behind the algorithm is as follows: as long as there is a path from the source (start node) to the sink (end node), with available capacity on all edges in the path, we send flow along ...
Over the years, various improved solutions to the maximum flow problem were discovered, notably the shortest augmenting path algorithm of Edmonds and Karp and independently Dinitz; the blocking flow algorithm of Dinitz; the push-relabel algorithm of Goldberg and Tarjan; and the binary blocking flow algorithm of Goldberg and Rao.
For instance, following this transformation, the Held–Karp algorithm could be used to solve the bottleneck TSP in time O(n 2 2 n). [1] Alternatively, the problem can be solved by performing a binary search or sequential search for the smallest x such that the subgraph of edges of weight at most x has a Hamiltonian cycle. This method leads to ...
The generic algorithm has a strongly polynomial O(V 2 E) time complexity, which is asymptotically more efficient than the O(VE 2) Edmonds–Karp algorithm. [2] Specific variants of the algorithms achieve even lower time complexities.
Download QR code; In other projects ... Source: Own work . This W3C ... ''' Graph of a sample processing of the Edmonds-Karp algorithm after the first step ...
Download QR code; Print/export ... Edmonds–Karp algorithm; Edmonds' algorithm; ... Parallel single-source shortest path algorithm;
Edmonds's algorithm ( edmonds-alg ) – An implementation of Edmonds's algorithm written in C++ and licensed under the MIT License. This source is using Tarjan's implementation for the dense graph. NetworkX, a python library distributed under BSD, has an implementation of Edmonds' Algorithm.