Practice Challenges with Arbitrary Graphs - 25.1.11 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a Directed Acyclic Graph (DAG).

💡 Hint: Think about the property of cycles in graphs.

Question 2

Easy

What does topological sorting achieve?

💡 Hint: Consider how tasks might depend on one another.

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 primary characteristic of a Directed Acyclic Graph?

  • It has cycles
  • It has no cycles
  • It can be undirected

💡 Hint: Recall the definition of a DAG.

Question 2

Is it NP-hard to find the longest path in arbitrary graphs?

  • True
  • False

💡 Hint: Think about the implications of cycles.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed acyclic graph of 5 vertices and the following edges: (1,2), (1,3), (2,4), (3,4), (4,5). Calculate the longest path and describe how you computed it.

💡 Hint: Draw the graph to visualize all potential paths.

Question 2

An arbitrary graph includes cycles: If a vertex connects back to itself multiple times, how would you begin to analyze the longest path?

💡 Hint: Think about how to handle vertices that lead back to previous nodes.

Challenge and get performance evaluation