Discuss the advantages and disadvantages of Dijkstra's algorithm compared to Bellman-Ford and Floyd-Warshall algorithms.
- Bellman-Ford is always preferable due to its efficiency in handling negative edge weights. Dijkstra's algorithm is the best choice for all scenarios. Floyd-Warshall should only be used for small graphs.
- Dijkstra's algorithm is faster but doesn't handle negative edge weights well. Bellman-Ford handles negative weights but has higher time complexity. Floyd-Warshall is efficient for dense graphs but may be slower for sparse graphs.
- Dijkstra's algorithm is the only one suitable for graphs with negative cycles.
- Floyd-Warshall is always faster than Dijkstra's and Bellman-Ford algorithms. Dijkstra's algorithm is the most efficient for all graph types.
Dijkstra's algorithm has the advantage of being faster than Bellman-Ford and Floyd-Warshall for sparse graphs but struggles with negative edge weights. Bellman-Ford handles negative weights but has higher time complexity. Floyd-Warshall is efficient for dense graphs but may be slower for sparse graphs. The choice depends on the specific characteristics of the graph and the importance of negative weights.
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