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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Step-by-Step Example of Longest Path Computation

25.1.7 - Step-by-Step Example of Longest Path Computation

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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