Network flow problem | Graph algorithms

Dinic's algorithm

Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer scientist Yefim (Chaim) A. Dinitz. The algorithm runs in time and is similar to the Edmonds–Karp algorithm, which runs in time, in that it uses shortest augmenting paths. The introduction of the concepts of the level graph and blocking flow enable Dinic's algorithm to achieve its performance. (Wikipedia).

Dinic's algorithm
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Flow network | Maximum flow problem | Depth-first search | Ford–Fulkerson algorithm | Hopcroft–Karp algorithm | Shimon Even | Edmonds–Karp algorithm | Breadth-first search