Practice Topological Sorting - 25.1.2 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
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Topological Sorting

25.1.2 - Topological Sorting

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What characterizes a Directed Acyclic Graph (DAG)?

💡 Hint: Think about the definition of a cycle.

Question 2 Easy

What is meant by topological sorting?

💡 Hint: Consider how you would organize tasks with dependencies.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a Directed Acyclic Graph?

A graph with cycles
A graph with no cycles
A graph with undirected edges

💡 Hint: Consider the definition of a cycle in any graph.

Question 2

True or False: A topological sort can be applied to any directed graph.

True
False

💡 Hint: Remember the condition of acyclic property.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Break down the problem into manageable parts by depicting the graph first.

Challenge 2 Hard

Design an algorithm that efficiently computes the longest path in a graph given its adjacency list. Can you implement this in Python?

💡 Hint: Recall the steps we discussed regarding topological sorting and path calculation.

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