27.2.1 - Correctness of Dijkstra Algorithm
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Practice Questions
Test your understanding with targeted questions
What is the primary purpose of Dijkstra's algorithm?
💡 Hint: Think about pathfinding in graphs.
Define an invariant in the context of algorithms.
💡 Hint: What stays fixed in an algorithm during its run?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the time complexity of Dijkstra's algorithm when using an adjacency matrix?
💡 Hint: Consider how many comparisons are needed with a matrix representation.
True or False: Dijkstra's algorithm can handle graphs with negative edge weights.
💡 Hint: Think about how negative weights impact distance calculations.
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Challenge Problems
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If the graph contains both positive and negative edge weights but no negative cycles, describe how you might adapt Dijkstra's Algorithm to work correctly.
💡 Hint: What alternative has been specifically designed for such cases?
Given a graph structure with specific distances, compute the shortest path using Dijkstra's Algorithm. Provide a step-by-step explanation.
💡 Hint: What systematic approach can you follow?
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