Practice Example with Courses and Prerequisites - 25.1.3 | 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 paths that don't loop back.

Question 2

Easy

What does topological sorting achieve?

💡 Hint: Consider the impact of prerequisites on ordering.

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 defines a Directed Acyclic Graph (DAG)?

  • Contains cycles
  • No cycles
  • Has only one vertex

💡 Hint: Focus on the structure - can you loop back?

Question 2

True or False: Topological sorting can be applied to any graph.

  • True
  • False

💡 Hint: What about cycles in a graph?

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Challenge Problems

Push your limits with challenges.

Question 1

Consider a university with courses A, B, C, D, where A -> B, A -> C, and C -> D. If A must be taken before B and C, how many semesters will be required to complete all courses?

💡 Hint: Draw the DAG and analyze the dependencies.

Question 2

In a given DAG of courses represented by nodes with varying indegrees, propose an algorithm to optimally calculate the longest path.

💡 Hint: Think about the maximum values from what you already know.

Challenge and get performance evaluation