27.2.3 - Handling Negative Edges
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Practice Questions
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What is the primary function of Dijkstra's algorithm?
💡 Hint: Think about pathfinding in graphs.
Define a burnt vertex.
💡 Hint: Consider this as a confirmed choice in optimization.
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Interactive Quizzes
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What type of algorithm is Dijkstra's?
💡 Hint: Remember the type of choices made in Dijkstra's strategy.
True or False: Dijkstra’s algorithm can find shortest paths in graphs with negative cycles.
💡 Hint: Consider the definition of a shortest path in terms of weights.
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Challenge Problems
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You are given a graph with a negative cycle. Formulate how you would approach finding the shortest path from a source vertex to a destination vertex. Discuss the potential outcomes.
💡 Hint: Consider what happens in the presence of repeating paths.
Construct a graph with negative edges and no negative cycle. Use the Bellman-Ford algorithm to determine the shortest paths and explain your findings.
💡 Hint: Reflect on how negative edges might still lead to a valid optimal path.
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