Explain how the Floyd-Warshall algorithm can efficiently handle graphs with negative edge weights without negative cycles.
- By converting the negative weights to positive ones during the algorithm execution.
- By excluding vertices with negative edges from the graph.
- By ignoring edges with negative weights during the algorithm execution.
- By initializing the distance matrix with maximum values and updating it using dynamic programming.
The Floyd-Warshall algorithm efficiently handles graphs with negative edge weights (without negative cycles) by initializing the distance matrix with maximum values and updating it using dynamic programming. It considers all pairs of vertices and systematically updates the shortest paths between them, effectively handling negative weights without the need for additional modifications.
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