Practice Breadth First Search (BFS) - 20.1 | 20. Breadth First Search (BFS) | Design & Analysis of Algorithms - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What data structure does BFS primarily use for managing vertices?

💡 Hint: Think about the order in which nodes are processed.

Question 2

Easy

Define what an adjacency matrix is.

💡 Hint: Consider how connections between nodes would be represented.

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 in terms of n and m?

  • O(n)
  • O(n^2)
  • O(n + m)

💡 Hint: Recall how BFS processes the graph based on its structure.

Question 2

True or False: BFS can find the shortest path in a weighted graph.

  • True
  • False

💡 Hint: Think about what BFS does differently from other algorithms.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a BFS algorithm that not only finds the shortest path from vertex A to vertex B but also outputs a list of all vertices visited in order.

💡 Hint: Incorporate both the parent array for path reconstruction and the visit list in your BFS implementation.

Question 2

How would you modify BFS to handle a situation where the graph changes dynamically? For example, edges can be added or removed during execution.

💡 Hint: Think about the impact of edge modifications on the traversal.

Challenge and get performance evaluation