Practice Dependency Problem Description - 23.2.2 | 23. Directed Acyclic Graphs (DAGs) | Design & Analysis of Algorithms - Vol 1
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Dependency Problem Description

23.2.2 - Dependency Problem Description

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a Directed Acyclic Graph (DAG)?

💡 Hint: Think of the meaning of 'Acyclic'.

Question 2 Easy

What do we understand by in-degree of a vertex?

💡 Hint: Consider incoming arrows.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the key feature of a Directed Acyclic Graph (DAG)?

Contains cycles
Has directed edges with a cycle
Has no cycles

💡 Hint: Focus on the definition of 'Acyclic'.

Question 2

True or False? Topological sorting is possible for graphs with cycles.

True
False

💡 Hint: Consider the implications of a cycle.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given a set of tasks with cyclic dependencies (A -> B, B -> C, C -> A). Explain why a topological sort cannot be performed.

💡 Hint: Reflect on circular dependencies.

Challenge 2 Hard

For a DAG consisting of tasks A, B, C, and dependencies A -> B, A -> C, C -> D, determine a possible valid topological order.

💡 Hint: Think about which tasks can be completed first based on their dependencies.

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