6. Given a graph G = (V, E) with positive edge weights, the Bellman- Ford algorithm...

 

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6. Given a graph G = (V, E) with positive edge weights, the Bellman- Ford algorithm and Dijkstra's algorithm can produce different shortest-path trees despite always producing the same shortest- path weights. Explanation: 8. Bellman-Ford Algorithm a) For iteration 1, fill arrays d and p. 5 2 Edge Weight 0-1 5 0-2 2 1 0 3 1-3 2-3 3-0 -1 0-2 2 Edge Weight 0-1 5 140 3 1-3 4 2 3 4 b) Draw the resultant graph based on the values in arrays d and p: 6 6 3-0 -1 d 0 0 d 0 1 5 2 1 2 3 2 3 8 P 0 P 1 0 0 2 0 3 2 1 2 3 6. Given a graph G = (V, E) with positive edge weights, the Bellman- Ford algorithm and Dijkstra's algorithm can produce different shortest-path trees despite always producing the same shortest- path weights. Explanation: 8. Bellman-Ford Algorithm a) For iteration 1, fill arrays d and p. 5 2 Edge Weight 0-1 5 0-2 2 1 0 3 1-3 2-3 3-0 -1 0-2 2 Edge Weight 0-1 5 140 3 1-3 4 2 3 4 b) Draw the resultant graph based on the values in arrays d and p: 6 6 3-0 -1 d 0 0 d 0 1 5 2 1 2 3 2 3 8 P 0 P 1 0 0 2 0 3 2 1 2 3

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