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How does the Dijkstra algorithm handle negative weights in a graph?
The Dijkstra algorithm cannot handle negative weights in a graph because it assumes all edge weights are non-negative. If negative weights are present, the algorithm may not find the shortest path correctly.
How does Dijkstra's algorithm handle negative weights in a graph?
Dijkstra's algorithm does not work well with negative weights in a graph because it assumes all edge weights are non-negative. Negative weights can cause the algorithm to give incorrect results or get stuck in an infinite loop. To handle negative weights, a different algorithm like Bellman-Ford should be used.
How does Dijkstra's algorithm handle negative edge weights in a graph?
Dijkstra's algorithm does not work with negative edge weights in a graph because it assumes all edge weights are non-negative. Negative edge weights can cause the algorithm to give incorrect results or get stuck in an infinite loop. To handle negative edge weights, a different algorithm like Bellman-Ford should be used.
How does the Bellman-Ford algorithm work to find the shortest path in a graph?
The Bellman-Ford algorithm works by repeatedly relaxing the edges of the graph, updating the shortest path estimates until the optimal shortest path is found. It can handle graphs with negative edge weights, unlike Dijkstra's algorithm.
What are the key differences between the Bellman-Ford and Floyd-Warshall algorithms for finding the shortest paths in a graph?
The key difference between the Bellman-Ford and Floyd-Warshall algorithms is their approach to finding the shortest paths in a graph. Bellman-Ford is a single-source shortest path algorithm that can handle negative edge weights, but it is less efficient than Floyd-Warshall for finding shortest paths between all pairs of vertices in a graph. Floyd-Warshall, on the other hand, is a dynamic programming algorithm that can find the shortest paths between all pairs of vertices in a graph, but it cannot handle negative cycles. In summary, Bellman-Ford is better for single-source shortest path with negative edge weights, while Floyd-Warshall is more efficient for finding shortest paths between all pairs of vertices in a graph.
