Practice Prof. Madhavan Mukund - 27.1.2 | 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 main goal of Dijkstra's algorithm?

💡 Hint: Think about the term 'shortest path'.

Question 2

Easy

Define a burnt vertex in the context of Dijkstra's algorithm.

💡 Hint: What happens to the distance of burnt 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 does Dijkstra's algorithm aim to achieve?

  • Find the shortest path from a single source
  • Find the longest path
  • Sort vertices

💡 Hint: Focus on the part about the 'shortest path'.

Question 2

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

  • True
  • False

💡 Hint: Recall what we discussed about negative weights.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a graph with vertices and edges that have both positive and negative weights, describe how Dijkstra's algorithm would handle this, and what issues might arise.

💡 Hint: Reflect on the definitions and properties of negative weights.

Question 2

Design a modified version of Dijkstra's algorithm to account for negative weights and leverage efficient graph traversing. Explain your solution.

💡 Hint: Recall the properties and functionalities of other pathfinding algorithms.

Challenge and get performance evaluation