Practice Computing Longest Path Using Topological Order (25.1.5)

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6 sample questions

Question 1.
Define a Directed Acyclic Graph (DAG).
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Focus on the terms 'directed' and 'acyclic'.
Question 2.
What does topological sorting help us achieve?
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Think about ordering tasks based on requirements.
3Question 3.
Which of the following best defines a Directed Acyclic Graph (DAG)?
- A cyclic directed graph
- A directed graph with cycles
- A directed graph without cycles
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Focus on what 'acyclic' implies.
4Question 4.
True or False: Topological sorting can be applied to any type of graph.
- True
- False
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Consider the implications of cycles.
Question 5.
Construct a DAG for a project consisting of six tasks where specific tasks cannot start until others are finished. Identify the longest path.
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Visualize the dependency flow and compute paths straightforwardly.
Question 6.
Explain in depth how the complexity of finding the longest path changes in DAGs vs. arbitrary graphs.
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Refer back to algorithms and their computational limits.

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