25.1.1 - Introduction to DAGs
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Practice Questions
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What is a DAG?
💡 Hint: Think about how edges connect vertices and the absence of cycles.
What does topological sorting help us achieve?
💡 Hint: Think about the order of tasks based on prerequisites.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a Directed Acyclic Graph?
💡 Hint: Focus on the term 'Acyclic'.
True or False: A topological sort only exists for cyclic graphs.
💡 Hint: Think of the definition of a topological sort.
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Challenge Problems
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Given a DAG representing a simplified project plan with tasks as vertices (A, B, C, D) and dependencies (A -> B, A -> C, B -> D, C -> D), calculate the longest path. What implications does this have for project scheduling?
💡 Hint: Visualize the tasks and dependencies.
If a graph has vertices with both indegrees and outdegrees, how would you adjust the approach to find the longest path compared to a typical DAG?
💡 Hint: Consider what happens if you can revisit vertices.
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