Practice Complexity of Depth First Search - 21.1.4 | 21. Depth First Search (DFS) | Design & Analysis of Algorithms - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Complexity of Depth First Search

21.1.4 - Complexity of Depth First Search

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.