Practice Correctness of Dijkstra Algorithm - 27.2.1 | 27. Mathematical Institute | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the primary purpose of Dijkstra's algorithm?

💡 Hint: Think about pathfinding in graphs.

Question 2

Easy

Define an invariant in the context of algorithms.

💡 Hint: What stays fixed in an algorithm during its run?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the time complexity of Dijkstra's algorithm when using an adjacency matrix?

  • O(n)
  • O(n^2)
  • O(n log n)

💡 Hint: Consider how many comparisons are needed with a matrix representation.

Question 2

True or False: Dijkstra's algorithm can handle graphs with negative edge weights.

  • True
  • False

💡 Hint: Think about how negative weights impact distance calculations.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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?

Question 2

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?

Challenge and get performance evaluation