Practice Pseudo Code for Warshall’s Algorithm - 20.8 | 20. Warshall’s Algorithm for Computing Transitive Closure | Discrete Mathematics - 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 the time complexity of Warshall's Algorithm?

💡 Hint: Consider the number of nodes involved and the operations performed.

Question 2

Easy

Define what an intermediate node is.

💡 Hint: Think about the structure of the paths in a directed graph.

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 output of Warshall's Algorithm?

  • The original matrix.
  • The transitive closure matrix.
  • The adjacency list of the graph.

💡 Hint: Consider what the transitive closure represents.

Question 2

In Warshall's Algorithm, how do we handle a path when the entry is 0 in the previous matrix?

  • True
  • False

💡 Hint: Focus on the update rules for transitioning between matrices.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed graph with edges A-B, B-C, and C-D, write the matrices for W(0), W(1), and W(2).

💡 Hint: Start with the original edges and follow the definitions for intermediate paths.

Question 2

Construct the W(k) matrices from a given relationship and illustrate any new paths formed due to an intermediate node.

💡 Hint: Consider the role of each node added as an intermediate in the paths.

Challenge and get performance evaluation