Question: The Floyd-Warshall algorithm (given below) computes all-pairs shortest paths, or the lengths of the shortest paths between each pair of vertices in a graph. Dijkstra's

 The Floyd-Warshall algorithm (given below) computes all-pairs shortest paths, or the

The Floyd-Warshall algorithm (given below) computes all-pairs shortest paths, or the lengths of the shortest paths between each pair of vertices in a graph. Dijkstra's algorithm solves the single-source shortest path problem, or the lengths of the shortest paths from a particular source vertex s to all other vertices in the graph. Assuming all edge weights are positive, when is repeated use of Dijkstra's algorithm more efficient than the Floyd-Warshall algorithm for solving the all-pairs shortest paths problem? 1: function FLOYD-WARSHALL (G) 2: Initialize dist array to be n n with all entries set to oo 3: for all (u, v) E E do 4: 5: end for 6: for k 1 to n do 7: 8: 9: dist(u, u) =weight (u, u) for i 1 to n do for j = 1 to n do dist(i, j) = min(dist(i, j), dist(i, k) + dist(k, j)} end for 10: end for 12: end for 13: end function

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