Practice Importance of DAGs and Efficiency in Longest Path - 25.1.10 | 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

What does 'acyclic' mean in the context of a graph?

💡 Hint: Think about if you could loop back in a graph.

Question 2

Easy

What is the primary use of topological sorting?

💡 Hint: Remember the order of tasks depends on dependencies.

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

Which of the following statements about DAGs is true?

  • A DAG can have cycles.
  • A DAG is a directed graph with no cycles.
  • A DAG can have multiple paths.

💡 Hint: Recall the term DAG itself.

Question 2

True or False: Topological sorting can result in multiple valid orderings.

  • True
  • False

💡 Hint: Think about scenarios with multiple paths.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a complex DAG of tasks, determine the longest path while justifying each step taken in your reasoning.

💡 Hint: Trace the paths paying close attention to resource requirements.

Question 2

Create a real-life scenario using DAG concepts to illustrate task management. What challenges arise, and how would you solve them using a longest path calculation?

💡 Hint: Draw connections between tasks and their prerequisites to showcase interactions.

Challenge and get performance evaluation