Practice Topological Sorting (25.1.2) - DAGs: Longest Paths - Design & Analysis of Algorithms - Vol 1

Practice: Topological Sorting

Lesson 25.1.2DAGs: Longest Paths

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9 questions

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6 sample questions

Question 1.
What characterizes a Directed Acyclic Graph (DAG)?
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Think about the definition of a cycle.
Question 2.
What is meant by topological sorting?
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Consider how you would organize tasks with dependencies.
3Question 3.
What is a Directed Acyclic Graph?
- A graph with cycles
- A graph with no cycles
- A graph with undirected edges
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Consider the definition of a cycle in any graph.
4Question 4.
True or False: A topological sort can be applied to any directed graph.
- True
- False
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Remember the condition of acyclic property.
Question 5.
Given a DAG representing a project management scenario, with tasks and their dependencies, derive the longest path and the minimum time required to complete all tasks if task durations are known.
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Break down the problem into manageable parts by depicting the graph first.
Question 6.
Design an algorithm that efficiently computes the longest path in a graph given its adjacency list. Can you implement this in Python?
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Recall the steps we discussed regarding topological sorting and path calculation.

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