Practice Complexity Analysis - 25.1.9 | 25. DAGs: Longest Paths | Design & Analysis of Algorithms - Vol 1
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Complexity Analysis

25.1.9 - Complexity Analysis

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does it mean for a graph to be a Directed Acyclic Graph?

💡 Hint: Think about cycles in graphs.

Question 2 Easy

Define topological sorting.

💡 Hint: Consider how to order tasks.

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 directed edges and no cycles
A disconnected graph

💡 Hint: Focus on the definition of a DAG.

Question 2

True or False: The longest path in a DAG represents the simplest tasks.

True
False

💡 Hint: Consider what the longest path implies.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a DAG for five tasks where task E depends on tasks C and D, while task D depends on B and A. Determine the longest path.

💡 Hint: Focus on the dependencies outlined in the DAG.

Challenge 2 Hard

Given a course structure with prerequisites and a scheduled semester plan, identify if the schedule allows completion in the minimum number of semesters.

💡 Hint: Check for any circular dependencies.

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