Practice Computing Longest Path Using Topological Order - 25.1.5 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Computing Longest Path Using Topological Order

25.1.5 - Computing Longest Path Using Topological Order

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Directed Acyclic Graph (DAG).

💡 Hint: Focus on the terms 'directed' and 'acyclic'.

Question 2 Easy

What does topological sorting help us achieve?

💡 Hint: Think about ordering tasks based on requirements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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

💡 Hint: Focus on what 'acyclic' implies.

Question 2

True or False: Topological sorting can be applied to any type of graph.

True
False

💡 Hint: Consider the implications of cycles.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a DAG for a project consisting of six tasks where specific tasks cannot start until others are finished. Identify the longest path.

💡 Hint: Visualize the dependency flow and compute paths straightforwardly.

Challenge 2 Hard

Explain in depth how the complexity of finding the longest path changes in DAGs vs. arbitrary graphs.

💡 Hint: Refer back to algorithms and their computational limits.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.