Practice Pseudo Code For Warshall’s Algorithm (20.8) - Warshall’s Algorithm for Computing Transitive Closure
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Pseudo Code for Warshall’s Algorithm

Practice - Pseudo Code for Warshall’s Algorithm

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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