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| ベルマン-フォード法× | ダイクストラ法× | |
|---|---|---|
| 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≠ | Richard Bellman and Lester R. Ford | Edsger W. Dijkstra |
| 種類 | algorithm | algorithm |
| 原典≠ | 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 ↗ |
| 別名 | Bellman-Ford method, Bellman algorithm | Dijkstra's algorithm, shortest path algorithm |
| 関連 | 3 | 3 |
| 概要≠ | 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. |
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