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− | The '''Shortest Path Faster Algorithm''' (SPFA) is a [[ | + | The '''Shortest Path Faster Algorithm''' (SPFA) is a [[shortest path|single-source shortest paths]] algorithm whose origin is unknown<sup>[see references]</sup>. It is similar to [[Dijkstra's algorithm]] in that it performs relaxations on nodes popped from some sort of [[queue]], but, unlike Dijkstra's, it is usable on graphs containing edges of negative weight, like the [[Bellman-Ford algorithm]]. Its value lies in the fact that, in the average case, it is likely to outperform Bellman-Ford (although not Dijkstra's). In theory, this should lead to an improved version of [[Johnson's algorithm]] as well. |
==The algorithm== | ==The algorithm== |