Practice Algorithm for Topological Sorting - 23.2.8 | 23. Directed Acyclic Graphs (DAGs) | 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

What does a Directed Acyclic Graph represent?

💡 Hint: Think about the directionality and presence of cycles.

Question 2

Easy

Define in-degree.

💡 Hint: Consider incoming connections to a task.

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

Which of the following is true about DAGs?

  • They have cycles
  • They allow topological sorting
  • They are undirected

💡 Hint: Recall the definitions of DAGs.

Question 2

True or False: A topological sort can be performed on any graph.

  • True
  • False

💡 Hint: Consider the requirement of the directed edges and cycles.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a DAG representing course prerequisites, you have the following courses: A (Math), B (Physics), C (Programming), D (Data Structures). If Math is required for Physics, and Programming is necessary for Data Structures, what is a valid topological ordering of courses?

💡 Hint: Ensure prerequisites are ordered before dependent courses.

Question 2

Create and explain a DAG for software development, identifying at least six tasks and their dependencies.

💡 Hint: Think about the typical software development lifecycle and dependencies.

Challenge and get performance evaluation