Practice Algorithm Complexity - 24.1.5 | 24. Topological Ordering of Directed Acyclic Graphs (DAG) | 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

Define in-degree.

💡 Hint: Think about how many arrows point at a specific point.

Question 2

Easy

What is one method to find out which vertex to process in topological sort?

💡 Hint: What means you don't need to wait for anything else to start working?

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 using an adjacency matrix for topological sorting?

  • O(n)
  • O(n^2)
  • O(n + m)

💡 Hint: Think about the size of the matrix.

Question 2

True or False: In topological sorting, a vertex with in-degree 0 can be processed immediately.

  • True
  • False

💡 Hint: Consider what in-degree indicates during processing.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed graph represented by edges: {(A, B), (B, C), (C, D), (A, D)}, implement a topological sorting algorithm using an adjacency list.

💡 Hint: Consider how you will maintain the list as you process each vertex.

Question 2

In a project management scenario with tasks represented as a directed graph, design a strategy to implement topological sorting to schedule tasks while minimizing dependencies.

💡 Hint: Think about how dependencies affect the order of execution.

Challenge and get performance evaluation