Practice Valid Topological Ordering - 24.1.3 | 24. Topological Ordering of Directed Acyclic Graphs (DAG) | Design & Analysis of Algorithms - Vol 1
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Valid Topological Ordering

24.1.3 - Valid Topological Ordering

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the in-degree of a vertex?

💡 Hint: Think about how many edges arrive at a vertex.

Question 2 Easy

Can a vertex with zero in-degree be processed first in topological sorting?

💡 Hint: If no tasks depend on it, it can go first!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary goal of topological sorting?

To find the shortest path
To order vertices respecting dependencies
To find cycles in a graph

💡 Hint: Think about the purpose of ordering in task management.

Question 2

True or False: A graph must be acyclic to perform a topological sort.

True
False

💡 Hint: Remember the nature of cycles and their constraints.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an algorithm to implement topological sorting with an input of edges in a directed graph. What are the expected outcomes?

💡 Hint: Think about how you can maintain order while processing.

Challenge 2 Hard

Consider a scenario with tasks {A, B, C, D} and dependencies {A->B, A->C, B->D}. What is a possible topological order?

💡 Hint: Every time you select a task, ensure no others depend on it that haven't been completed.

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