Practice Step-by-Step Example of Longest Path Computation - 25.1.7 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a Directed Acyclic Graph (DAG).

💡 Hint: Think about the term 'acyclic'.

Question 2

Easy

What is topological sorting?

💡 Hint: Consider the order of tasks with dependencies.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What defines a Directed Acyclic Graph?

  • It has loops
  • It has directed edges
  • It is undirected

💡 Hint: Focus on the structure of the graph.

Question 2

True or False: Every DAG can be topologically sorted.

  • True
  • False

💡 Hint: Think about dependency structures.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a project with multiple tasks where some depend on previous completion. Create a DAG of this project and compute the longest path.

💡 Hint: Focus on where the longest chains tend to originate.

Question 2

If adding a task modifies existing dependencies, recalibrate the longest path. What challenges might this present and how would you address them?

💡 Hint: Consider how changes ripple through the project dependencies.

Challenge and get performance evaluation