Practice Complexity Analysis of BFS - 20.3.6 | 20. Breadth First Search (BFS) | 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 BFS stand for?

💡 Hint: Remember the first part of the name!

Question 2

Easy

Name one way to represent a graph.

💡 Hint: Think about how we discussed graphs in class.

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 BFS using an adjacency list?

  • O(n)
  • O(n + m)
  • O(n²)

💡 Hint: Think about the connections in sparse graphs.

Question 2

True or False: BFS can only find the shortest path in weighted graphs.

  • True
  • False

💡 Hint: Consider the nature of BFS's exploration.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have a graph with 10 vertices and the edges {(1,2), (2,3), (3,4), (4,5), (1,6), (6,7), (6,8), (5,9)}. Describe the BFS traversal starting from vertex 1.

💡 Hint: Keep track of the levels while traversing!

Question 2

Given an example of both an adjacency matrix and list for the edges mentioned above, calculate the time complexity of BFS for both representations.

💡 Hint: Make sure to consider the number of edges and how they relate.

Challenge and get performance evaluation