Practice Independent Set Problem - 12.5 | 12. Intractability: Checking Algorithms | Design & Analysis of Algorithms - Vol 3
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

Define what an independent set is.

💡 Hint: Think about the connections between vertices.

Question 2

Easy

Can a single vertex form an independent set?

💡 Hint: Consider whether it has edges connecting to anything else.

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 defines an independent set?

  • Connected vertices
  • Unconnected vertices
  • Vertices with edges

💡 Hint: Think about how edges relate to vertices.

Question 2

True or False: An independent set can contain two directly connected vertices.

  • True
  • False

💡 Hint: Recall what makes a set independent.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a complex graph with vertices numbered from 1 to 10 and edges connecting every vertex to two others, determine the largest possible independent set and justify your reasoning.

💡 Hint: Consider connections carefully before making selections.

Question 2

Construct a graph and demonstrate two different independent sets within it. Highlight the differences in edge connections.

💡 Hint: Map edges clearly to visualize independence.

Challenge and get performance evaluation