Practice Introduction to DAGs - 25.1.1 | 25. DAGs: Longest Paths | 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 is a DAG?

💡 Hint: Think about how edges connect vertices and the absence of cycles.

Question 2

Easy

What does topological sorting help us achieve?

💡 Hint: Think about the order of tasks based on prerequisites.

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 a Directed Acyclic Graph?

  • A graph with cycles
  • A directed graph without cycles
  • An undirected graph

💡 Hint: Focus on the term 'Acyclic'.

Question 2

True or False: A topological sort only exists for cyclic graphs.

  • True
  • False

💡 Hint: Think of the definition of a topological sort.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a DAG representing a simplified project plan with tasks as vertices (A, B, C, D) and dependencies (A -> B, A -> C, B -> D, C -> D), calculate the longest path. What implications does this have for project scheduling?

💡 Hint: Visualize the tasks and dependencies.

Question 2

If a graph has vertices with both indegrees and outdegrees, how would you adjust the approach to find the longest path compared to a typical DAG?

💡 Hint: Consider what happens if you can revisit vertices.

Challenge and get performance evaluation