Practice Complexity of Depth First Search - 21.1.4 | 21. Depth First Search (DFS) | 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 does DFS stand for?

💡 Hint: Think about how the algorithm explores.

Question 2

Easy

Which data structure can be used to implement DFS?

💡 Hint: Consider the order of operations in DFS.

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 DFS when represented with an adjacency list?

  • O(n²)
  • O(m + n)
  • O(n)

💡 Hint: Think about the relationships between edges and vertices.

Question 2

True or False: Depth First Search guarantees the shortest path in a graph.

  • True
  • False

💡 Hint: Consider how DFS operates compared to BFS.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph represented using an adjacency list, analyze its structure using DFS to determine if it contains cycles. Provide the step-wise execution.

💡 Hint: Cycling might reveal itself by re-entering a previously visited node.

Question 2

Develop a DFS function that computes the connected components of a graph. Explain how you will classify connected nodes during your traversal.

💡 Hint: Think about how you can maintain a list while traversing.

Challenge and get performance evaluation