All pairs shortest path

All pairs shortest path

Finding all pairs shortest path consists of finding the shortest distance between every pair of nodes in a possibly directed graph. Various means of doing so are known, and the following list gives a few of the common methods:
*Floyd-Warshall algorithm is an elegant, quickly implementable O(n^3) algorithm (Assumes absence of negatively-weighed cycles).
*Johnson's algorithm is harder to implement, but might perform better for sparse graphs.
*Algorithms for single source problem might also be repeatedly used, although they often perform worse or are harder to optimize.

ee also

*Shortest path problem
*


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