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| Bellman-Ford Algorithm× | Dijkstra-Algorithmus× | Der Ford-Fulkerson-Algorithmus× | |
|---|---|---|---|
| Fachgebiet | Operations Research | Operations Research | Operations Research |
| Familie | Machine learning | Machine learning | Machine learning |
| Entstehungsjahr | 1956 | 1956 | 1956 |
| Urheber≠ | Richard Bellman and Lester R. Ford | Edsger W. Dijkstra | Lester R. Ford and Delbert R. Fulkerson |
| Typ | algorithm | algorithm | algorithm |
| Wegweisende Quelle≠ | Bellman, R. (1958). On a routing problem. Quarterly of Applied Mathematics, 16(1), 87-90. DOI ↗ | Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269-271. DOI ↗ | Ford, L. R., & Fulkerson, D. R. (1956). Maximal flow through a network. Canadian Journal of Mathematics, 8(3), 399-404. DOI ↗ |
| Aliasnamen | Bellman-Ford method, Bellman algorithm | Dijkstra's algorithm, shortest path algorithm | Ford-Fulkerson method, augmenting path method |
| Verwandt≠ | 3 | 3 | 4 |
| Zusammenfassung≠ | 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. | Dijkstra's Algorithm, introduced by Edsger W. Dijkstra in 1956, is one of the most fundamental algorithms in computer science for solving the single-source shortest path problem. It finds the shortest path from a starting vertex to all other vertices in a weighted graph with non-negative edge weights. | 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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