方法对比
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| 推送-重贴标签算法× | Bellman-Ford 算法× | Ford-Fulkerson 算法× | |
|---|---|---|---|
| 领域 | 运筹学 | 运筹学 | 运筹学 |
| 方法族 | Machine learning | Machine learning | Machine learning |
| 起源年份≠ | 1988 | 1956 | 1956 |
| 提出者≠ | Andrew V. Goldberg and Robert E. Tarjan | Richard Bellman and Lester R. Ford | Lester R. Ford and Delbert R. Fulkerson |
| 类型 | algorithm | algorithm | algorithm |
| 开创性文献≠ | Goldberg, A. V., & Tarjan, R. E. (1988). A new approach to the maximum flow problem. Journal of the ACM, 35(4), 921-940. DOI ↗ | Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90. DOI ↗ | Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404. DOI ↗ |
| 别名 | preflow-push algorithm, Goldberg-Tarjan algorithm | Bellman-Ford method, Bellman algorithm | Ford-Fulkerson method, augmenting path method |
| 相关≠ | 3 | 3 | 4 |
| 摘要≠ | The Push-Relabel Algorithm, developed by Andrew V. Goldberg and Robert E. Tarjan in 1988, is a highly efficient method for computing maximum flow in networks. Unlike augmenting path methods, it maintains a preflow and uses local push and global relabeling operations to drive flow toward the sink, achieving superior worst-case complexity. | 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. | 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. |
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