11.3.1 - Time Complexity of Dijkstra's Algorithm
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Practice Questions
Test your understanding with targeted questions
What is the purpose of using a min-heap in Dijkstra's algorithm?
💡 Hint: Think about the operations we need to perform frequently.
How are initial distances set in Dijkstra's algorithm?
💡 Hint: What initialization allows us to start our shortest path search?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity of Dijkstra's Algorithm using heaps?
💡 Hint: Consider both vertices and edges in your calculations.
Dijkstra's algorithm guarantees the shortest path for which type of graph?
💡 Hint: Think about how edge weights can influence the shortest paths.
1 more question available
Challenge Problems
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Design a graph with at least 5 vertices and weighted edges. Perform Dijkstra's algorithm and describe each step including the heap updates.
💡 Hint: Begin with the starting vertex and iteratively find the next minimum distance.
Explain how modifying edge weights can impact Dijkstra’s algorithm and provide an example.
💡 Hint: Consider both increasing and decreasing an edge's weight.
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