Practice Warshall's Algorithm and Transitive Closure - 1.10 | 1. All-pairs Shortest Paths | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is Warshall's Algorithm used for?

💡 Hint: Think about connectivity between vertices.

Question 2

Easy

What is the typical initial state of an adjacency matrix?

💡 Hint: Consider how edges are represented.

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 does Warshall's Algorithm compute?

  • Shortest paths
  • Transitive Closure
  • Graph coloring

💡 Hint: Think about how reachability is defined.

Question 2

True or False: Floyd-Warshall's algorithm can handle graphs with negative cycles.

  • True
  • False

💡 Hint: Consider the implications of a negative cycle.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed graph with weights, apply the Floyd-Warshall algorithm to find all pairs shortest paths. Write down each step leading to the final matrix.

💡 Hint: Keep track of how weights update as you consider intermediate vertices.

Question 2

Construct an example with a negative cycle and demonstrate what happens when using Floyd-Warshall.

💡 Hint: Think about what happens if a path gets shorter with each iteration through the cycle.

Challenge and get performance evaluation