Practice Dijkstra’s Algorithm for Single Source Shortest Path Problem - 27.2 | 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 does Dijkstra's algorithm calculate?

💡 Hint: Think about path lengths in a graph.

Question 2

Easy

What is the initial distance set for the source vertex?

💡 Hint: It's the starting point for distance calculations.

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 using an adjacency list?

  • O(n^2)
  • O(n + m log n)
  • O(log n)

💡 Hint: Think about how many operations are involved in finding the minimum.

Question 2

True or False: Dijkstra's algorithm works for graphs with negative edge weights.

  • True
  • False

💡 Hint: Consider the implications of negative costs on path calculations.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider the following graph represented as an adjacency matrix. Calculate the shortest path from vertex A to all other vertices. Ensure to handle the vertices in a range of distances correctly.

💡 Hint: Apply the algorithm step-by-step and confirm the distances.

Question 2

If you found a negative cycle in a graph, how would it impact your approach? Can Dijkstra's algorithm be adjusted to handle it?

💡 Hint: Think about the principles behind Dijkstra's greedy strategy.

Challenge and get performance evaluation