Let G = (V, E) be a weighted, directed graph with positive integer weights and marimum weight W. (a) Modify Dijkstra's algorithm to compute the shortest paths from a given source vertex s in 4 O(W|V|+|E) time. (b) Give an O(E| lg W) time algorithm for the problem by improving your algorithm of part (a).

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Exercise 12.5
Let G = (V, E) be a weighted, directed graph with positive integer weights and marimum weight
W.
%3D
(a) Modify Dijkstra's algorithm to compute the shortest paths from a given source verter s in
O(W|V|+|E|) time.
(b) Give an O(|E| lg W) time algorithm for the problem by improving your algorithm of part (a).
Transcribed Image Text:Exercise 12.5 Let G = (V, E) be a weighted, directed graph with positive integer weights and marimum weight W. %3D (a) Modify Dijkstra's algorithm to compute the shortest paths from a given source verter s in O(W|V|+|E|) time. (b) Give an O(|E| lg W) time algorithm for the problem by improving your algorithm of part (a).
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