Practice Lecture - 26 - 27.1.6 | 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 aim to find?

💡 Hint: Think about what the goal of defining paths is.

Question 2

Easy

What do we set the source vertex's distance to initially?

💡 Hint: It represents the starting point.

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 primary function of Dijkstra's algorithm?

  • To find the longest path
  • To find the shortest path from a single source vertex
  • To find all paths between two vertices

💡 Hint: Consider what the algorithm is frequently used for in applications.

Question 2

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

  • True
  • False

💡 Hint: Think about the assumptions the algorithm relies on regarding path costs.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a weighted graph with both positive and negative edges, determine the shortest path from vertex A to vertex B using Dijkstra's algorithm. What challenges do you face?

💡 Hint: Evaluate how negative weights affect the decisions in Dijkstra's.

Question 2

Create an efficient implementation of Dijkstra's algorithm using a priority queue. Discuss the time complexity of your implementation.

💡 Hint: Think about the impact of using a different data structure.

Challenge and get performance evaluation