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- The Shortest Path Faster Algorithm (SPFA) is an improvement of the Bellman–Ford algorithm which computes single-source shortest paths in a weighted directed graph. The algorithm is believed to work well on random sparse graphs and is particularly suitable for graphs that contain negative-weight edges. However, the worst-case complexity of SPFA is the same as that of Bellman–Ford, so for graphs with nonnegative edge weights Dijkstra's algorithm is preferred. The SPFA algorithm was first published by Edward F. Moore in 1959, as a generalization of breadth first search; SPFA is Moore's “Algorithm D.” The name, “Shortest Path Faster Algorithm (SPFA),” was given by FanDing Duan, a Chinese researcher who rediscovered the algorithm in 1994. (en)
- 最短路径快速算法（英語：Shortest Path Faster Algorithm (SPFA)），国际上一般认为是带有队列优化的Bellman-Ford 算法，一般仅在中国大陆被称为SPFA，是一个用于求解有向带权图单源最短路径的算法。这一算法在随机的稀疏图上表现出色，并且适用于带有负边权的图。 然而SPFA在最坏情况的时间复杂度与 Bellman-Ford 算法相同，因此在非负边权的图中使用堆优化的Dijkstra 算法效率可能优于SPFA。 SPFA算法首先在1959年由作为广度优先搜索的扩展发表，相同算法在1994年由段凡丁重新发现。 (zh)
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- The Shortest Path Faster Algorithm (SPFA) is an improvement of the Bellman–Ford algorithm which computes single-source shortest paths in a weighted directed graph. The algorithm is believed to work well on random sparse graphs and is particularly suitable for graphs that contain negative-weight edges. However, the worst-case complexity of SPFA is the same as that of Bellman–Ford, so for graphs with nonnegative edge weights Dijkstra's algorithm is preferred. The SPFA algorithm was first published by Edward F. Moore in 1959, as a generalization of breadth first search; SPFA is Moore's “Algorithm D.” The name, “Shortest Path Faster Algorithm (SPFA),” was given by FanDing Duan, a Chinese researcher who rediscovered the algorithm in 1994. (en)
- 最短路径快速算法（英語：Shortest Path Faster Algorithm (SPFA)），国际上一般认为是带有队列优化的Bellman-Ford 算法，一般仅在中国大陆被称为SPFA，是一个用于求解有向带权图单源最短路径的算法。这一算法在随机的稀疏图上表现出色，并且适用于带有负边权的图。 然而SPFA在最坏情况的时间复杂度与 Bellman-Ford 算法相同，因此在非负边权的图中使用堆优化的Dijkstra 算法效率可能优于SPFA。 SPFA算法首先在1959年由作为广度优先搜索的扩展发表，相同算法在1994年由段凡丁重新发现。 (zh)
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- Shortest Path Faster Algorithm (en)
- 最短路径快速算法 (zh)
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