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In computer science, the Floyd–Warshall algorithm (also known as Floyd's algorithm, the Roy–Warshall algorithm, the Roy–Floyd algorithm, or the WFI algorithm) is an algorithm for finding shortest paths in a directed weighted graph with positive or negative edge weights (but with no negative cycles). A single execution of the algorithm will find the…
History, Applications & Science
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algorithm displaystyle path graph vertices paths shortest warshall floyd negative cycles time using vertex weights pairs graphs theta mathrm shortestpath
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Floyd–Warshall algorithm | Average performance | Θ ( | V | 3 ) {\displaystyle \Theta (|V|^{3})} | 1.00 | infobox |
| Floyd–Warshall algorithm | Best-case performance | Θ ( | V | 3 ) {\displaystyle \Theta (|V|^{3})} | 1.00 | infobox |
| Floyd–Warshall algorithm | Class | All-pairs shortest path problem (for weighted graphs) | 1.00 | infobox |
| Floyd–Warshall algorithm | Data structure | Graph | 1.00 | infobox |
| Floyd–Warshall algorithm | Worst-case performance | Θ ( | V | 3 ) {\displaystyle \Theta (|V|^{3})} | 1.00 | infobox |
| Floyd–Warshall algorithm | Worst-case space complexity | Θ ( | V | 2 ) {\displaystyle \Theta (|V|^{2})} | 1.00 | infobox |
| Floyd–Warshall algorithm | is a | example of dynamic programming | 0.90 | text |
| Floyd–Warshall algorithm | has application | The Floyd | 0.60 | section |
| Floyd–Warshall algorithm | has application | Warshall | 0.60 | section |
| Floyd–Warshall algorithm | has application | Transitive | 0.60 | section |
| Floyd–Warshall algorithm | has application | Warshall's | 0.60 | section |
| Floyd–Warshall algorithm | has application | In Warshall's | 0.60 | section |
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