28.2.3 - Update Operation in Dijkstra's Algorithm
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Practice Questions
Test your understanding with targeted questions
What does it mean to 'burn' a vertex in Dijkstra's algorithm?
💡 Hint: Think of it as locking in the shortest distance.
What is a negative edge weight?
💡 Hint: It's a negative impact on the path length.
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Interactive Quizzes
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What is the purpose of the update operation in Dijkstra's algorithm?
💡 Hint: Focus on what happens when you burn a vertex.
True or False: Dijkstra's algorithm effectively calculates shortest paths for graphs with negative edge weights.
💡 Hint: Consider the implications of negative weights.
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Challenge Problems
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Design a graph with vertices A, B, C, and D, where A to B is 5, A to C is 2, C to D is -4, and what shortest path does Bellman-Ford compute?
💡 Hint: Think about how the negative edge affects the overall path.
Using a weighted directed graph where all edges have positive weights, explain how Dijkstra's algorithm ensures the shortest path is always found.
💡 Hint: Focus on the steps and rules of Dijkstra's process.
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