What is the time complexity of the Floyd-Warshall algorithm?
The Floyd-Warshall algorithm has a time complexity of O(V^3), where V is the number of vertices in the graph.
Can you explain why it has that complexity?
Sure! The algorithm uses three nested loops to iterate through all pairs of vertices, which leads to the cubic time complexity.
Is there a space complexity to consider?
Yes, the space complexity is O(V^2) because it requires a 2D array to store the shortest path distances between all pairs of vertices.
Are there any optimizations for this algorithm?
While the Floyd-Warshall algorithm is already quite efficient for dense graphs, there are no significant optimizations that reduce its time complexity.
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