Practice Complexity Analysis - 27.2.2 | 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 first step in Dijkstra's algorithm?

💡 Hint: Think about how we initialize the distances.

Question 2

Easy

What data structure is inefficient for Dijkstra's algorithm?

💡 Hint: Consider how we store graph data and access the vertices.

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 correct time complexity of Dijkstra's algorithm using an adjacency matrix?

  • O(n)
  • O(n log n)
  • O(n^2)

💡 Hint: Think about the loops involved in finding the minimum distance.

Question 2

True or False: Dijkstra's algorithm can correctly determine shortest paths in a graph with negative weight edges.

  • True
  • False

💡 Hint: Recall the assumptions made by Dijkstra's algorithm.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with the following weights, perform Dijkstra's algorithm from vertex A. Show all steps and final shortest paths.

💡 Hint: Keep track of distances from A, marking each burnt vertex.

Question 2

Explain how Dijkstra's algorithm would perform on a complete graph with negative edge weights, detailing any deviations from the expected outcome.

💡 Hint: Consider the implications of a negative cycle.

Challenge and get performance evaluation