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| フォード・ファルカーソン法× | ベルマン-フォード法× | |
|---|---|---|
| 分野 | オペレーションズ・リサーチ | オペレーションズ・リサーチ |
| 系統 | Machine learning | Machine learning |
| 提唱年 | 1956 | 1956 |
| 提唱者≠ | Lester R. Ford and Delbert R. Fulkerson | Richard Bellman and Lester R. Ford |
| 種類 | algorithm | algorithm |
| 原典≠ | Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404. DOI ↗ | Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90. DOI ↗ |
| 別名 | Ford-Fulkerson method, augmenting path method | Bellman-Ford method, Bellman algorithm |
| 関連≠ | 4 | 3 |
| 概要≠ | The Ford-Fulkerson Algorithm, developed by Lester R. Ford and Delbert R. Fulkerson in 1956, is a foundational method for computing the maximum flow in a flow network. It finds the maximum amount of flow that can be sent from a source to a sink through a directed graph with capacity constraints on edges. | The Bellman-Ford Algorithm, developed by Richard Bellman and Lester R. Ford in the 1950s, is a fundamental algorithm for computing shortest paths in weighted graphs that may contain negative edge weights. Unlike Dijkstra's algorithm, it correctly handles negative weights and can detect the presence of negative-weight cycles. |
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