Practice Importance of DAGs and Efficiency in Longest Path - 25.1.10 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
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Importance of DAGs and Efficiency in Longest Path

25.1.10 - Importance of DAGs and Efficiency in Longest Path

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does 'acyclic' mean in the context of a graph?

💡 Hint: Think about if you could loop back in a graph.

Question 2 Easy

What is the primary use of topological sorting?

💡 Hint: Remember the order of tasks depends on dependencies.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following statements about DAGs is true?

A DAG can have cycles.
A DAG is a directed graph with no cycles.
A DAG can have multiple paths.

💡 Hint: Recall the term DAG itself.

Question 2

True or False: Topological sorting can result in multiple valid orderings.

True
False

💡 Hint: Think about scenarios with multiple paths.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a complex DAG of tasks, determine the longest path while justifying each step taken in your reasoning.

💡 Hint: Trace the paths paying close attention to resource requirements.

Challenge 2 Hard

Create a real-life scenario using DAG concepts to illustrate task management. What challenges arise, and how would you solve them using a longest path calculation?

💡 Hint: Draw connections between tasks and their prerequisites to showcase interactions.

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