Practice Elimination Process - 24.1.2 | 24. Topological Ordering of Directed Acyclic Graphs (DAG) | Design & Analysis of Algorithms - Vol 1
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Elimination Process

24.1.2 - Elimination Process

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define in-degree.

💡 Hint: Think about how edges connect vertices.

Question 2 Easy

What happens to the in-degree of vertices when a vertex with in-degree 0 is removed?

💡 Hint: Consider the connections or outgoing edges.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does in-degree represent in a graph?

Count of outgoing edges
Count of incoming edges
Total edges connected

💡 Hint: Focus on how edges approach the vertex.

Question 2

True or False: The removal of a vertex does not affect the connected vertices' in-degrees.

True
False

💡 Hint: Consider how vertices are interconnected.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a DAG with edges (1->2, 2->3, 1->3), what is the sequence of eliminations starting from in-degree zero vertices?

💡 Hint: Trace the edges to visualize which vertices connect.

Challenge 2 Hard

Illustrate the effects of removing vertex 4 from a graph where the in-degrees of its neighbors become 0. What would be the next valid removal?

💡 Hint: Focus on how the dependencies change.

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