Comparison of Dijkstra’s and Floyd–Warshall algorithms
- Dijkstra’s Algorithm is one example of a single-source shortest or SSSP algorithm, i.e., given a source vertex it finds shortest path from source to all other vertices.
- Floyd Warshall Algorithm is an example of all-pairs shortest path algorithm, meaning it computes the shortest path between all pair of nodes.
Time Complexities :
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- Time Complexity of Dijkstra’s Algorithm: O(E log V)
- Time Complexity of Floyd Warshall: O(V3)
- We can use Dijskstra’s shortest path algorithm for finding all pair shortest paths by running it for every vertex. But time complexity of this would be O(VE Log V) which can go (V3 Log V) in worst case.
- Another important differentiating factor between the algorithms is their working towards distributed systems. Unlike Dijkstra’s algorithm, Floyd Warshall can be implemented in a distributed system, making it suitable for data structures such as Graph of Graphs (Used in Maps).
- Lastly Floyd Warshall works for negative edge but no negative cycle, whereas Dijkstra’s algorithm don’t work for negative edges.
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