Practice Modeling Dependencies with Graphs - 23.2.3 | 23. Directed Acyclic Graphs (DAGs) | Design & Analysis of Algorithms - Vol 1
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Modeling Dependencies with Graphs

23.2.3 - Modeling Dependencies with Graphs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Directed Acyclic Graph (DAG).

💡 Hint: Think about what cycles in a graph imply.

Question 2 Easy

What is the purpose of topological sorting?

💡 Hint: Consider how tasks would be completed.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is true about a Directed Acyclic Graph?

True
False

💡 Hint: Think about what a cycle would mean in terms of task dependencies.

Question 2

Which of the following is a requirement for topological sorting?

The graph must be directed
The graph must be acyclic
Both A and B

💡 Hint: Consider the importance of direction and cycles.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given five tasks with the following dependencies: A -> B, A -> C, B -> D, C -> D. Describe the topological orderings possible.

💡 Hint: Look for tasks without incoming edges to start.

Challenge 2 Hard

If a new task E is introduced with dependencies: E -> A, how does this affect topological sorting?

💡 Hint: Track how each task's position changes.

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