3 Give an example of a simple directed, weighted graph G (V, E, w E R) and vertices s, t V such that Dijkstras algortihm started at s does not find the shortest s t path Hint You will need to use negative edge weights (Note this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights Do you see why ) 3 Give an example of a simple directed, weighted graph G (V, E, w E R) and vertices st EV such that Dijkstra's algortihm started at s does not find the shortest S t path Hint You will need to use negative edge weights (Note this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights Do you see why ) 3 Give an example of a simple directed, weighted graph G (V, E, w E R) and vertices st EV such that Dijkstra's algortihm started at s does not find the shortest S t path Hint You will need to use negative edge weights (Note this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights Do you see why )

Question

3  Give an example of a simple directed, weighted graph G   (V, E, w  E R) and vertices s, t V such that Dijkstras algortihm started at s does not find the shortest s t path  Hint  You will need to use negative edge weights  (Note  this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights  Do you see why ) 3  Give an example of a simple directed, weighted graph G   (V, E, w  E   R) and vertices st EV such that Dijkstra's algortihm started at s does not find the shortest S t path  Hint  You will need to use negative edge weights  (Note  this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights  Do you see why ) 3  Give an example of a simple directed, weighted graph G   (V, E, w  E   R) and vertices st EV such that Dijkstra's algortihm started at s does not find the shortest S t path  Hint  You will need to use negative edge weights  (Note  this shows that for finding shortest paths, the greedy choice property fails in the presence of negative edge weights  Do you see why )

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3. Give an example of a simple directed, weighted graph G = (V, E, w: E R) and vertices s, t V such that Dijkstras

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Database Systems For Advanced Applications 23rd International Conference Dasfaa 2018 Gold Coast Qld Australia May 21 24 2018 Proceedings Part 2 Lncs 10828

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