Practice Time and Space Complexities - 4.8 | 4. Model and Work with Graph Data Structures | Data Structure
K12 Students

Academics

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

Academics
Professionals

Professional Courses

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

Professional Courses
Games

Interactive Games

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

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the space complexity of an adjacency list?

πŸ’‘ Hint: Think about how many vertices and edges are stored.

Question 2

Easy

How do you add an edge using an adjacency matrix?

πŸ’‘ Hint: Consider the location in the matrix.

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 space complexity of an adjacency list?

  • O(V)
  • O(E)
  • O(V + E)

πŸ’‘ Hint: Consider both the number of vertices and edges.

Question 2

True or False: An adjacency matrix can indicate whether an edge exists in O(1) time.

  • True
  • False

πŸ’‘ Hint: Think about how matrices are structured.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a sparse graph, justify why an adjacency list is the preferred representation over an adjacency matrix.

πŸ’‘ Hint: Think about edge density relative to the number of vertices.

Question 2

For a dense graph, describe a scenario where using an adjacency matrix for fast edge lookups is advantageous.

πŸ’‘ Hint: Consider environments where speed is crucial.

Challenge and get performance evaluation