Practice Introduction To Dags (25.1.1) - DAGs: Longest Paths - Design & Analysis of Algorithms

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9 questions

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6 sample questions

Question 1.
What is a DAG?
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Think about how edges connect vertices and the absence of cycles.
Question 2.
What does topological sorting help us achieve?
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Think about the order of tasks based on prerequisites.
3Question 3.
What is a Directed Acyclic Graph?
- A graph with cycles
- A directed graph without cycles
- An undirected graph
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Focus on the term 'Acyclic'.
4Question 4.
True or False: A topological sort only exists for cyclic graphs.
- True
- False
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Think of the definition of a topological sort.
Question 5.
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?
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Visualize the tasks and dependencies.
Question 6.
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?
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Consider what happens if you can revisit vertices.

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